[{"author":[{"first_name":"Sergei","last_name":"Zaǐtsev","full_name":"Zaǐtsev, Sergei"},{"orcid":"0000-0002-0977-7989","id":"338D39FE-F248-11E8-B48F-1D18A9856A87","last_name":"Sazanov","first_name":"Leonid A","full_name":"Sazanov, Leonid A"},{"last_name":"Koshkin","first_name":"Aleksei","full_name":"Koshkin, Aleksei"},{"full_name":"Sud'Ina, Galina","last_name":"Sud'Ina","first_name":"Galina"},{"full_name":"Varfolomeev, Sergei","last_name":"Varfolomeev","first_name":"Sergei"}],"date_updated":"2022-03-07T09:49:06Z","date_created":"2018-12-11T11:54:51Z","volume":291,"year":"1991","pmid":1,"publication_status":"published","publisher":"Elsevier","publist_id":"5139","extern":"1","doi":"10.1016/0014-5793(91)81109-L","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/001457939181109L"}],"external_id":{"pmid":["1936255 "]},"quality_controlled":"1","month":"10","publication_identifier":{"issn":["0014-2956"]},"oa_version":"None","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"1946","status":"public","title":"Respiratory burst inhibition in human neutrophils by ultra-low doses of [D-Ala2] methionine enkephalinamide","intvolume":" 291","abstract":[{"lang":"eng","text":"An ultra-low dose (10-14 M) of opioid peptide [D-Ala2]methionine enkephalinamide (DAMEA) is found to exert an inhibitory effect on the production of reactive oxygen species (respiratory burst) in human neutrophils. The validity of this phenomenon has been verified in a series of studies that comprised 30 experiments. The inhibition has proved to be statistically significant (P<0.001). The dose-response dependence of the effect (10-15-10-9 M) followed a characteristic biphasic pattern (with the maximum effect at ultra-low doses). An opioid antagonist, naloxone partially blocks the inhibitory effect, which indicates that the DAMEA action is at least partially mediated by opioid receptors."}],"issue":"1","type":"journal_article","date_published":"1991-10-07T00:00:00Z","publication":"FEBS Letters","citation":{"chicago":"Zaǐtsev, Sergei, Leonid A Sazanov, Aleksei Koshkin, Galina Sud’Ina, and Sergei Varfolomeev. “Respiratory Burst Inhibition in Human Neutrophils by Ultra-Low Doses of [D-Ala2] Methionine Enkephalinamide.” FEBS Letters. Elsevier, 1991. https://doi.org/10.1016/0014-5793(91)81109-L.","mla":"Zaǐtsev, Sergei, et al. “Respiratory Burst Inhibition in Human Neutrophils by Ultra-Low Doses of [D-Ala2] Methionine Enkephalinamide.” FEBS Letters, vol. 291, no. 1, Elsevier, 1991, pp. 84–86, doi:10.1016/0014-5793(91)81109-L.","short":"S. Zaǐtsev, L.A. Sazanov, A. Koshkin, G. Sud’Ina, S. Varfolomeev, FEBS Letters 291 (1991) 84–86.","ista":"Zaǐtsev S, Sazanov LA, Koshkin A, Sud’Ina G, Varfolomeev S. 1991. Respiratory burst inhibition in human neutrophils by ultra-low doses of [D-Ala2] methionine enkephalinamide. FEBS Letters. 291(1), 84–86.","ieee":"S. Zaǐtsev, L. A. Sazanov, A. Koshkin, G. Sud’Ina, and S. Varfolomeev, “Respiratory burst inhibition in human neutrophils by ultra-low doses of [D-Ala2] methionine enkephalinamide,” FEBS Letters, vol. 291, no. 1. Elsevier, pp. 84–86, 1991.","apa":"Zaǐtsev, S., Sazanov, L. A., Koshkin, A., Sud’Ina, G., & Varfolomeev, S. (1991). Respiratory burst inhibition in human neutrophils by ultra-low doses of [D-Ala2] methionine enkephalinamide. FEBS Letters. Elsevier. https://doi.org/10.1016/0014-5793(91)81109-L","ama":"Zaǐtsev S, Sazanov LA, Koshkin A, Sud’Ina G, Varfolomeev S. Respiratory burst inhibition in human neutrophils by ultra-low doses of [D-Ala2] methionine enkephalinamide. FEBS Letters. 1991;291(1):84-86. doi:10.1016/0014-5793(91)81109-L"},"page":"84 - 86","day":"07","article_processing_charge":"No","scopus_import":"1"},{"day":"07","article_processing_charge":"No","scopus_import":"1","date_published":"1991-11-07T00:00:00Z","article_type":"original","page":"31 - 37","publication":"Nature","citation":{"ama":"Moriyoshi K, Masu M, Ishii T, Shigemoto R, Mizuno N, Nakanishi S. Molecular cloning and characterization of the rat NMDA receptor. Nature. 1991;353(6348):31-37. doi:10.1038/354031a0","apa":"Moriyoshi, K., Masu, M., Ishii, T., Shigemoto, R., Mizuno, N., & Nakanishi, S. (1991). Molecular cloning and characterization of the rat NMDA receptor. Nature. Nature Publishing Group. https://doi.org/10.1038/354031a0","ieee":"K. Moriyoshi, M. Masu, T. Ishii, R. Shigemoto, N. Mizuno, and S. Nakanishi, “Molecular cloning and characterization of the rat NMDA receptor,” Nature, vol. 353, no. 6348. Nature Publishing Group, pp. 31–37, 1991.","ista":"Moriyoshi K, Masu M, Ishii T, Shigemoto R, Mizuno N, Nakanishi S. 1991. Molecular cloning and characterization of the rat NMDA receptor. Nature. 353(6348), 31–37.","short":"K. Moriyoshi, M. Masu, T. Ishii, R. Shigemoto, N. Mizuno, S. Nakanishi, Nature 353 (1991) 31–37.","mla":"Moriyoshi, Koki, et al. “Molecular Cloning and Characterization of the Rat NMDA Receptor.” Nature, vol. 353, no. 6348, Nature Publishing Group, 1991, pp. 31–37, doi:10.1038/354031a0.","chicago":"Moriyoshi, Koki, Masayuki Masu, Takahiro Ishii, Ryuichi Shigemoto, Noboru Mizuno, and Shigetada Nakanishi. “Molecular Cloning and Characterization of the Rat NMDA Receptor.” Nature. Nature Publishing Group, 1991. https://doi.org/10.1038/354031a0."},"abstract":[{"text":"A complementary DNA encoding the rat NMDA receptor has been cloned and characterized. The single protein encoded by the cDNA forms a receptor-channel complex that has electrophysiological and pharmacological properties characteristic of the NMDA receptor. This protein has a significant sequence similarity to the AMPA/kainate receptors and contains four putative transmembrane segments following a large extracellular domain. The NMDA receptor messenger RNA is expressed in neuronal cells throughout the brain regions, particularly in the hippocampus, cerebral cortex and cerebellum.","lang":"eng"}],"issue":"6348","type":"journal_article","oa_version":"None","status":"public","title":"Molecular cloning and characterization of the rat NMDA receptor","intvolume":" 353","_id":"2483","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","month":"11","publication_identifier":{"issn":["0028-0836"],"eissn":["1476-4687"]},"language":[{"iso":"eng"}],"doi":"10.1038/354031a0","quality_controlled":"1","main_file_link":[{"url":"https://www.nature.com/articles/354031a0"}],"external_id":{"pmid":["1834949"]},"extern":"1","publist_id":"4418","date_created":"2018-12-11T11:57:56Z","date_updated":"2022-03-03T15:25:04Z","volume":353,"author":[{"first_name":"Koki","last_name":"Moriyoshi","full_name":"Moriyoshi, Koki"},{"last_name":"Masu","first_name":"Masayuki","full_name":"Masu, Masayuki"},{"full_name":"Ishii, Takahiro","first_name":"Takahiro","last_name":"Ishii"},{"full_name":"Shigemoto, Ryuichi","orcid":"0000-0001-8761-9444","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","last_name":"Shigemoto","first_name":"Ryuichi"},{"last_name":"Mizuno","first_name":"Noboru","full_name":"Mizuno, Noboru"},{"first_name":"Shigetada","last_name":"Nakanishi","full_name":"Nakanishi, Shigetada"}],"publication_status":"published","publisher":"Nature Publishing Group","year":"1991","pmid":1},{"month":"02","publication_identifier":{"issn":["0028-0836"],"eissn":["1476-4687"]},"external_id":{"pmid":["1847995 "]},"main_file_link":[{"url":"https://www.nature.com/articles/349760a0"}],"quality_controlled":"1","doi":"10.1038/349760a0","language":[{"iso":"eng"}],"publist_id":"4419","extern":"1","year":"1991","pmid":1,"publication_status":"published","publisher":"Nature Publishing Group","author":[{"full_name":"Masu, Masayuki","last_name":"Masu","first_name":"Masayuki"},{"first_name":"Yasuto","last_name":"Tanabe","full_name":"Tanabe, Yasuto"},{"last_name":"Tsuchida","first_name":"Kunihiro","full_name":"Tsuchida, Kunihiro"},{"full_name":"Shigemoto, Ryuichi","last_name":"Shigemoto","first_name":"Ryuichi","orcid":"0000-0001-8761-9444","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Shigetada","last_name":"Nakanishi","full_name":"Nakanishi, Shigetada"}],"date_created":"2018-12-11T11:57:55Z","date_updated":"2022-03-03T15:37:36Z","volume":349,"scopus_import":"1","day":"28","article_processing_charge":"No","publication":"Nature","citation":{"ama":"Masu M, Tanabe Y, Tsuchida K, Shigemoto R, Nakanishi S. Sequence and expression of a metabotropic glutamate receptor. Nature. 1991;349(6312):760-765. doi:10.1038/349760a0","apa":"Masu, M., Tanabe, Y., Tsuchida, K., Shigemoto, R., & Nakanishi, S. (1991). Sequence and expression of a metabotropic glutamate receptor. Nature. Nature Publishing Group. https://doi.org/10.1038/349760a0","ieee":"M. Masu, Y. Tanabe, K. Tsuchida, R. Shigemoto, and S. Nakanishi, “Sequence and expression of a metabotropic glutamate receptor,” Nature, vol. 349, no. 6312. Nature Publishing Group, pp. 760–765, 1991.","ista":"Masu M, Tanabe Y, Tsuchida K, Shigemoto R, Nakanishi S. 1991. Sequence and expression of a metabotropic glutamate receptor. Nature. 349(6312), 760–765.","short":"M. Masu, Y. Tanabe, K. Tsuchida, R. Shigemoto, S. Nakanishi, Nature 349 (1991) 760–765.","mla":"Masu, Masayuki, et al. “Sequence and Expression of a Metabotropic Glutamate Receptor.” Nature, vol. 349, no. 6312, Nature Publishing Group, 1991, pp. 760–65, doi:10.1038/349760a0.","chicago":"Masu, Masayuki, Yasuto Tanabe, Kunihiro Tsuchida, Ryuichi Shigemoto, and Shigetada Nakanishi. “Sequence and Expression of a Metabotropic Glutamate Receptor.” Nature. Nature Publishing Group, 1991. https://doi.org/10.1038/349760a0."},"article_type":"original","page":"760 - 765","date_published":"1991-02-28T00:00:00Z","type":"journal_article","abstract":[{"text":"The complementary DNA of a metabotropic glutamate receptor coupled to inositol phosphate/Ca2+ signal transduction has been cloned and characterized. This receptor shows no sequence similarity to conventional G protein-coupled receptors and has a unique structure with large hydrophilic sequences at both sides of seven putative membrane-spanning domains. Abundant expression of this messenger RNA is observed in neuronal cells in hippocampal dentate gyrus and CA2-3 and in cerebellar Purkinje cells, suggesting the importance of this receptor in specific hippocampal and cerebellar functions.","lang":"eng"}],"issue":"6312","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"2482","title":"Sequence and expression of a metabotropic glutamate receptor","status":"public","intvolume":" 349","oa_version":"None"},{"pmid":1,"year":"1991","publisher":"Springer","publication_status":"published","author":[{"first_name":"Yukihiko","last_name":"Yasui","full_name":"Yasui, Yukihiko"},{"last_name":"Itoh","first_name":"Kazuo","full_name":"Itoh, Kazuo"},{"full_name":"Kaneko, Takeshi","first_name":"Takeshi","last_name":"Kaneko"},{"full_name":"Shigemoto, Ryuichi","orcid":"0000-0001-8761-9444","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","last_name":"Shigemoto","first_name":"Ryuichi"},{"first_name":"Noboru","last_name":"Mizuno","full_name":"Mizuno, Noboru"}],"volume":85,"date_updated":"2022-03-03T15:16:05Z","date_created":"2018-12-11T11:58:12Z","publist_id":"4370","extern":"1","main_file_link":[{"url":"https://link.springer.com/article/10.1007/BF00229988"}],"external_id":{"pmid":["1715827"]},"quality_controlled":"1","doi":"10.1007/BF00229988","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1432-1106"],"issn":["0014-4819"]},"month":"05","_id":"2529","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","intvolume":" 85","status":"public","title":"Topographical projections from the cerebral cortex to the nucleus of the solitary tract in the cat","oa_version":"None","type":"journal_article","issue":"1","abstract":[{"lang":"eng","text":"The distribution of cerebral cortical neurons sending projection fibers to the nucleus of the solitary tract (NST), and the topographical distribution of axon terminals of cortico-NST fibers within the NST were examined in the cat by two sets of experiments with horseradish peroxidase (HRP) and HRP conjugated with wheat germ agglutinin (WGA-HRP). First, HRP was injected into the NST. In the cerebral cortex of these cats, neuronal cell bodies were labeled retrogradely in the deep pyramidal cell layer (layer V): After HRP injection centered on the rostral or middle part of the NST, HRP-labeled neuronal cell bodies were distributed mainly in the orbital gyrus and caudal part of the intralimbic cortex, and additionally in the rostral part of the anterior sylvian gyrus. After HRP injection centered on the caudal part of the NST, labeled neuronal cell bodies were seen mainly in the caudoventral part of the intralimbic cortex, and additionally in the orbital gyrus, posterior sigmoid gyrus and rostral part of the anterior sylvian gyrus. The labeling in the intralimbic cortex, orbital gyrus and anterior sylvian gyrus was bilateral with a predominantly ipsilateral distribution, while that in the posterior sigmoid gyrus was bilateral with a clear-cut contralateral dominance. In the second set of experiments, WGA-HRP was injected into the cerebral cortical regions where neuronal cell bodies had been retrogradely labeled with HRP injected into the NST: after WGA-HRP injection into the orbital gyrus, presumed axon terminals in the NST were labeled in the rostral two thirds of the nucleus bilaterally with an ipsilateral predominance. After WGA-HRP injection into the rostral part of the anterior sylvian gyrus, a moderate number of presumed axon terminals were labeled throughout the whole rostrocaudal extent of the NST bilaterally with a slight ipsilateral dominance. After WGA-HRP injection into the middle and caudal parts of the anterior sylvian gyrus, no labeling was found in the NST. After WGA-HRP injection into the caudal part of the intralimbic cortex, presumed terminal labeling in the NST was seen throughout the whole rostrocaudal extent of the nucleus bilaterally with a dominant ipsilateral distribution. After WGA-HRP injection into the posterior sigmoid gyrus, however, no terminal labeling was found in the NST. The results indicate that cortico-NST fibers from the orbital gyrus terminate in the rostral two thirds of the NST, while those from the intralimbic cortex and the rostral part of the anterior sylvian gyrus project to the whole rostrocaudal extent of the NST."}],"citation":{"ama":"Yasui Y, Itoh K, Kaneko T, Shigemoto R, Mizuno N. Topographical projections from the cerebral cortex to the nucleus of the solitary tract in the cat. Experimental Brain Research. 1991;85(1):75-84. doi:10.1007/BF00229988","ista":"Yasui Y, Itoh K, Kaneko T, Shigemoto R, Mizuno N. 1991. Topographical projections from the cerebral cortex to the nucleus of the solitary tract in the cat. Experimental Brain Research. 85(1), 75–84.","apa":"Yasui, Y., Itoh, K., Kaneko, T., Shigemoto, R., & Mizuno, N. (1991). Topographical projections from the cerebral cortex to the nucleus of the solitary tract in the cat. Experimental Brain Research. Springer. https://doi.org/10.1007/BF00229988","ieee":"Y. Yasui, K. Itoh, T. Kaneko, R. Shigemoto, and N. Mizuno, “Topographical projections from the cerebral cortex to the nucleus of the solitary tract in the cat,” Experimental Brain Research, vol. 85, no. 1. Springer, pp. 75–84, 1991.","mla":"Yasui, Yukihiko, et al. “Topographical Projections from the Cerebral Cortex to the Nucleus of the Solitary Tract in the Cat.” Experimental Brain Research, vol. 85, no. 1, Springer, 1991, pp. 75–84, doi:10.1007/BF00229988.","short":"Y. Yasui, K. Itoh, T. Kaneko, R. Shigemoto, N. Mizuno, Experimental Brain Research 85 (1991) 75–84.","chicago":"Yasui, Yukihiko, Kazuo Itoh, Takeshi Kaneko, Ryuichi Shigemoto, and Noboru Mizuno. “Topographical Projections from the Cerebral Cortex to the Nucleus of the Solitary Tract in the Cat.” Experimental Brain Research. Springer, 1991. https://doi.org/10.1007/BF00229988."},"publication":"Experimental Brain Research","page":"75 - 84","article_type":"original","date_published":"1991-05-01T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"01"},{"external_id":{"pmid":["2177908 "]},"main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/B9780125711463500079"}],"quality_controlled":"1","doi":"10.1016/b978-0-12-571146-3.50007-9","language":[{"iso":"eng"}],"publication_identifier":{"isbn":["978-0-12-571148-7"]},"month":"01","pmid":1,"year":"1991","publisher":"The Endocrine Society","publication_status":"published","author":[{"full_name":"Nakanishi, Shigetada","last_name":"Nakanishi","first_name":"Shigetada"},{"full_name":"Ohkubo, Hiroaki","first_name":"Hiroaki","last_name":"Ohkubo"},{"full_name":"Kakizuka, Akira","first_name":"Akira","last_name":"Kakizuka"},{"last_name":"Yokota","first_name":"Yoshifumi","full_name":"Yokota, Yoshifumi"},{"id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8761-9444","first_name":"Ryuichi","last_name":"Shigemoto","full_name":"Shigemoto, Ryuichi"},{"last_name":"Sasai","first_name":"Yoshiki","full_name":"Sasai, Yoshiki"},{"full_name":"Takumi, Toru","first_name":"Toru","last_name":"Takumi"}],"volume":46,"date_updated":"2022-03-03T14:59:24Z","date_created":"2018-12-11T11:58:13Z","publist_id":"4369","extern":"1","citation":{"short":"S. Nakanishi, H. Ohkubo, A. Kakizuka, Y. Yokota, R. Shigemoto, Y. Sasai, T. Takumi, in:, Recent Progress in Hormone Research, The Endocrine Society, 1991, pp. 59–83.","mla":"Nakanishi, Shigetada, et al. “Molecular Characterization of Mammalian Tachykinin Receptors and a Possible Epithelial Potassium Channel.” Recent Progress in Hormone Research, vol. 46, The Endocrine Society, 1991, pp. 59–83, doi:10.1016/b978-0-12-571146-3.50007-9.","chicago":"Nakanishi, Shigetada, Hiroaki Ohkubo, Akira Kakizuka, Yoshifumi Yokota, Ryuichi Shigemoto, Yoshiki Sasai, and Toru Takumi. “Molecular Characterization of Mammalian Tachykinin Receptors and a Possible Epithelial Potassium Channel.” In Recent Progress in Hormone Research, 46:59–83. The Endocrine Society, 1991. https://doi.org/10.1016/b978-0-12-571146-3.50007-9.","ama":"Nakanishi S, Ohkubo H, Kakizuka A, et al. Molecular characterization of mammalian tachykinin receptors and a possible epithelial potassium channel. In: Recent Progress in Hormone Research. Vol 46. The Endocrine Society; 1991:59-83. doi:10.1016/b978-0-12-571146-3.50007-9","apa":"Nakanishi, S., Ohkubo, H., Kakizuka, A., Yokota, Y., Shigemoto, R., Sasai, Y., & Takumi, T. (1991). Molecular characterization of mammalian tachykinin receptors and a possible epithelial potassium channel. In Recent Progress in Hormone Research (Vol. 46, pp. 59–83). The Endocrine Society. https://doi.org/10.1016/b978-0-12-571146-3.50007-9","ieee":"S. Nakanishi et al., “Molecular characterization of mammalian tachykinin receptors and a possible epithelial potassium channel,” in Recent Progress in Hormone Research, vol. 46, The Endocrine Society, 1991, pp. 59–83.","ista":"Nakanishi S, Ohkubo H, Kakizuka A, Yokota Y, Shigemoto R, Sasai Y, Takumi T. 1991.Molecular characterization of mammalian tachykinin receptors and a possible epithelial potassium channel. In: Recent Progress in Hormone Research. vol. 46, 59–83."},"publication":"Recent Progress in Hormone Research","page":"59 - 83","date_published":"1991-01-01T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"01","_id":"2530","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","intvolume":" 46","status":"public","title":"Molecular characterization of mammalian tachykinin receptors and a possible epithelial potassium channel","oa_version":"None","type":"book_chapter"},{"publist_id":"2819","abstract":[{"text":"This paper proves an O(m2/3n2/3 + m + n) upper bound on the number of incidences between m points and n hyperplanes in four dimensions, assuming all points lie on one side of each hyperplane and the points and hyperplanes satisfy certain natural general position conditions. This result has application to various three-dimensional combinatorial distance problems. For example, it implies the same upper bound for the number of bichromatic minimum distance pairs in a set of m blue and n red points in three-dimensional space. This improves the best previous bound for this problem. © Springer-Verlag Berlin Heidelberg 1990.","lang":"eng"}],"extern":"1","type":"book_chapter","alternative_title":["DIMACS Series in Discrete Mathematics and Theoretical Computer Science"],"author":[{"full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner","first_name":"Herbert","orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Sharir, Micha","last_name":"Sharir","first_name":"Micha"}],"volume":4,"oa_version":"None","date_updated":"2022-03-03T13:27:01Z","date_created":"2018-12-11T12:04:00Z","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"3566","year":"1991","publisher":"American Mathematical Society","intvolume":" 4","title":"A hyperplane incidence problem with applications to counting distances","publication_status":"published","status":"public","article_processing_charge":"No","publication_identifier":{"isbn":["978-0897913850"]},"day":"01","month":"04","scopus_import":"1","date_published":"1991-04-01T00:00:00Z","language":[{"iso":"eng"}],"citation":{"ama":"Edelsbrunner H, Sharir M. A hyperplane incidence problem with applications to counting distances. In: Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift. Vol 4. American Mathematical Society; 1991:253-263.","ista":"Edelsbrunner H, Sharir M. 1991.A hyperplane incidence problem with applications to counting distances. In: Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 4, 253–263.","ieee":"H. Edelsbrunner and M. Sharir, “A hyperplane incidence problem with applications to counting distances,” in Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift, vol. 4, American Mathematical Society, 1991, pp. 253–263.","apa":"Edelsbrunner, H., & Sharir, M. (1991). A hyperplane incidence problem with applications to counting distances. In Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift (Vol. 4, pp. 253–263). American Mathematical Society.","mla":"Edelsbrunner, Herbert, and Micha Sharir. “A Hyperplane Incidence Problem with Applications to Counting Distances.” Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift, vol. 4, American Mathematical Society, 1991, pp. 253–63.","short":"H. Edelsbrunner, M. Sharir, in:, Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift, American Mathematical Society, 1991, pp. 253–263.","chicago":"Edelsbrunner, Herbert, and Micha Sharir. “A Hyperplane Incidence Problem with Applications to Counting Distances.” In Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift, 4:253–63. American Mathematical Society, 1991."},"main_file_link":[{"url":"http://www.cs.duke.edu/~edels/Papers/1991-B-01-HyperplaneIncidence.pdf"}],"publication":"Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift","page":"253 - 263","quality_controlled":"1"},{"day":"01","month":"06","article_processing_charge":"No","publication_identifier":{"isbn":["9780821865958"]},"date_published":"1991-06-01T00:00:00Z","language":[{"iso":"eng"}],"publication":"Discrete & Computational Geometry: Papers from the Dimacs Special Year","citation":{"ama":"Edelsbrunner H. Lines in space – A collection of results. In: Discrete & Computational Geometry: Papers from the Dimacs Special Year. Vol 6. Springer; 1991:77-93.","ista":"Edelsbrunner H. 1991.Lines in space – A collection of results. In: Discrete & Computational Geometry: Papers from the Dimacs Special Year. DIAMCS Series in Discrete Mathematics and Theoretical Computer Science, vol. 6, 77–93.","apa":"Edelsbrunner, H. (1991). Lines in space – A collection of results. In Discrete & Computational Geometry: Papers from the Dimacs Special Year (Vol. 6, pp. 77–93). Springer.","ieee":"H. Edelsbrunner, “Lines in space – A collection of results,” in Discrete & Computational Geometry: Papers from the Dimacs Special Year, vol. 6, Springer, 1991, pp. 77–93.","mla":"Edelsbrunner, Herbert. “Lines in Space – A Collection of Results.” Discrete & Computational Geometry: Papers from the Dimacs Special Year, vol. 6, Springer, 1991, pp. 77–93.","short":"H. Edelsbrunner, in:, Discrete & Computational Geometry: Papers from the Dimacs Special Year, Springer, 1991, pp. 77–93.","chicago":"Edelsbrunner, Herbert. “Lines in Space – A Collection of Results.” In Discrete & Computational Geometry: Papers from the Dimacs Special Year, 6:77–93. Springer, 1991."},"main_file_link":[{"url":"https://pub.ist.ac.at/~edels/Papers/1991-B-02-LinesInSpaceACollection.pdf"}],"quality_controlled":"1","page":"77 - 93","abstract":[{"text":"Many computational geometry problems arc exceedingly more difficult if the setting is the (three-dimensional real) space R3 rather than the plane . Most often the reason for this striking increase in complexity is the appearance of new geometric phenomena caused by one-dimensional objects in space. The intention of recent studies on problems for lines in space is to shed light on these new phenomena and their complexities. This paper reviews some of the most important results and shows how they are related to problems in dimensions 2 and 5. ","lang":"eng"}],"publist_id":"2818","extern":"1","type":"book_chapter","alternative_title":["DIAMCS Series in Discrete Mathematics and Theoretical Computer Science"],"author":[{"full_name":"Edelsbrunner, Herbert","orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner","first_name":"Herbert"}],"date_updated":"2022-03-03T10:48:15Z","date_created":"2018-12-11T12:04:00Z","oa_version":"None","volume":6,"_id":"3567","year":"1991","acknowledgement":"National Science Foundation under grant CCR-8921421.","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication_status":"published","title":"Lines in space – A collection of results","status":"public","intvolume":" 6","publisher":"Springer"},{"type":"journal_article","abstract":[{"lang":"eng","text":"This paper describes an effective procedure for stratifying a real semi-algebraic set into cells of constant description size. The attractive feature of our method is that the number of cells produced is singly exponential in the number of input variables. This compares favorably with the doubly exponential size of Collins' decomposition. Unlike Collins' construction, however, our scheme does not produce a cell complex but only a smooth stratification. Nevertheless, we are able to apply our results in interesting ways to problems of point location and geometric optimization."}],"issue":"1","status":"public","title":"A singly exponential stratification scheme for real semi-algebraic varieties and its applications","intvolume":" 84","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"4052","oa_version":"Published Version","scopus_import":"1","day":"22","article_processing_charge":"No","article_type":"original","page":"77 - 105","publication":"Theoretical Computer Science","citation":{"short":"B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, Theoretical Computer Science 84 (1991) 77–105.","mla":"Chazelle, Bernard, et al. “A Singly Exponential Stratification Scheme for Real Semi-Algebraic Varieties and Its Applications.” Theoretical Computer Science, vol. 84, no. 1, Elsevier, 1991, pp. 77–105, doi:10.1016/0304-3975(91)90261-Y.","chicago":"Chazelle, Bernard, Herbert Edelsbrunner, Leonidas Guibas, and Micha Sharir. “A Singly Exponential Stratification Scheme for Real Semi-Algebraic Varieties and Its Applications.” Theoretical Computer Science. Elsevier, 1991. https://doi.org/10.1016/0304-3975(91)90261-Y.","ama":"Chazelle B, Edelsbrunner H, Guibas L, Sharir M. A singly exponential stratification scheme for real semi-algebraic varieties and its applications. Theoretical Computer Science. 1991;84(1):77-105. doi:10.1016/0304-3975(91)90261-Y","ieee":"B. Chazelle, H. Edelsbrunner, L. Guibas, and M. Sharir, “A singly exponential stratification scheme for real semi-algebraic varieties and its applications,” Theoretical Computer Science, vol. 84, no. 1. Elsevier, pp. 77–105, 1991.","apa":"Chazelle, B., Edelsbrunner, H., Guibas, L., & Sharir, M. (1991). A singly exponential stratification scheme for real semi-algebraic varieties and its applications. Theoretical Computer Science. Elsevier. https://doi.org/10.1016/0304-3975(91)90261-Y","ista":"Chazelle B, Edelsbrunner H, Guibas L, Sharir M. 1991. A singly exponential stratification scheme for real semi-algebraic varieties and its applications. Theoretical Computer Science. 84(1), 77–105."},"date_published":"1991-07-22T00:00:00Z","extern":"1","publist_id":"2073","publication_status":"published","publisher":"Elsevier","year":"1991","acknowledgement":"The authors wish to thank DEC/Systems Research Center and DEC/Paris Research Laboratory, where part of this research was conducted. For individual support, Bernard Chazelle acknowledges the National Science Foundation for supporting this research in part under Grant CCR-8700917. Herbert Edelsbrunner acknowledges the support of the National Science Foundation under Grant CCR-8714565. Micha Sharir acknowledges the Office of Naval Research under Grant N00014-87-K-0129, the National Science Foundation under Grant No. NSF-DCR-83-20085, grants from the Digital Equipment Corporation and the IBM Corporation, and a research grant from the US-Israeli Binational Science Foundation.","date_updated":"2022-03-02T10:23:58Z","date_created":"2018-12-11T12:06:39Z","volume":84,"author":[{"full_name":"Chazelle, Bernard","last_name":"Chazelle","first_name":"Bernard"},{"orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner","first_name":"Herbert","full_name":"Edelsbrunner, Herbert"},{"full_name":"Guibas, Leonidas","last_name":"Guibas","first_name":"Leonidas"},{"full_name":"Sharir, Micha","first_name":"Micha","last_name":"Sharir"}],"month":"07","publication_identifier":{"eissn":["1879-2294"],"issn":["0304-3975"]},"quality_controlled":"1","oa":1,"main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/030439759190261Y?via%3Dihub","open_access":"1"}],"language":[{"iso":"eng"}],"doi":"10.1016/0304-3975(91)90261-Y"},{"type":"journal_article","issue":"2","abstract":[{"text":"This paper proves that for every n ≥ 4 there is a convex n-gon such that the vertices of 2n - 7 vertex pairs are one unit of distance apart. This improves the previously best lower bound of ⌊ (5n - 5) 3⌋ given by Erdo{combining double acute accent}s and Moser if n ≥ 17.","lang":"eng"}],"intvolume":" 56","title":"A lower bound on the number of unit distances between the vertices of a convex polygon","status":"public","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"4056","oa_version":"Published Version","scopus_import":"1","article_processing_charge":"No","day":"01","page":"312 - 316","article_type":"original","citation":{"chicago":"Edelsbrunner, Herbert, and Péter Hajnal. “A Lower Bound on the Number of Unit Distances between the Vertices of a Convex Polygon.” Journal of Combinatorial Theory Series A. Elsevier, 1991. https://doi.org/10.1016/0097-3165(91)90042-F.","mla":"Edelsbrunner, Herbert, and Péter Hajnal. “A Lower Bound on the Number of Unit Distances between the Vertices of a Convex Polygon.” Journal of Combinatorial Theory Series A, vol. 56, no. 2, Elsevier, 1991, pp. 312–16, doi:10.1016/0097-3165(91)90042-F.","short":"H. Edelsbrunner, P. Hajnal, Journal of Combinatorial Theory Series A 56 (1991) 312–316.","ista":"Edelsbrunner H, Hajnal P. 1991. A lower bound on the number of unit distances between the vertices of a convex polygon. Journal of Combinatorial Theory Series A. 56(2), 312–316.","ieee":"H. Edelsbrunner and P. Hajnal, “A lower bound on the number of unit distances between the vertices of a convex polygon,” Journal of Combinatorial Theory Series A, vol. 56, no. 2. Elsevier, pp. 312–316, 1991.","apa":"Edelsbrunner, H., & Hajnal, P. (1991). A lower bound on the number of unit distances between the vertices of a convex polygon. Journal of Combinatorial Theory Series A. Elsevier. https://doi.org/10.1016/0097-3165(91)90042-F","ama":"Edelsbrunner H, Hajnal P. A lower bound on the number of unit distances between the vertices of a convex polygon. Journal of Combinatorial Theory Series A. 1991;56(2):312-316. doi:10.1016/0097-3165(91)90042-F"},"publication":"Journal of Combinatorial Theory Series A","date_published":"1991-03-01T00:00:00Z","extern":"1","publist_id":"2070","publisher":"Elsevier","publication_status":"published","acknowledgement":"The first author is pleased to acknowledge partial support by the Amoco Fnd. Fat. Dev. Comput. Sci. i-6-44862 and the National Science Foundation under Grant CCR-8714565.","year":"1991","volume":56,"date_updated":"2022-03-02T09:56:10Z","date_created":"2018-12-11T12:06:41Z","author":[{"first_name":"Herbert","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert"},{"first_name":"Péter","last_name":"Hajnal","full_name":"Hajnal, Péter"}],"publication_identifier":{"issn":["0097-3165"],"eissn":["1096-0899"]},"month":"03","quality_controlled":"1","oa":1,"main_file_link":[{"open_access":"1","url":"https://www.sciencedirect.com/science/article/pii/009731659190042F?via%3Dihub"}],"language":[{"iso":"eng"}],"doi":"10.1016/0097-3165(91)90042-F"},{"author":[{"last_name":"Edelsbrunner","first_name":"Herbert","orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert"},{"full_name":"Seidel, Raimund","last_name":"Seidel","first_name":"Raimund"},{"first_name":"Micha","last_name":"Sharir","full_name":"Sharir, Micha"}],"volume":555,"oa_version":"None","date_created":"2018-12-11T12:06:40Z","date_updated":"2022-02-28T15:13:37Z","acknowledgement":"Research of Herbert Edelsbrunner was supported by the National Science Foundation under grant CCR-89-21421. Raimund Seidel acknowledges support by an NSF Presidential Young Investigator Grant CCR-90-58440. Micha Sharir has been supported by ONR Grant N00014-90-J-1284, by NSF Grant CCR-89-01484, and by grants from the U.S.-Israeli Binational Science Foundation, the German-Israeli Foundation for Scientific Research and Development, and the Fund for Basic Research of the Israeli Academy of Sciences.","_id":"4054","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","year":"1991","publisher":"Springer","intvolume":" 555","publication_status":"published","status":"public","title":"On the zone theorem for hyperplane arrangements","publist_id":"2068","abstract":[{"lang":"eng","text":"The zone theorem for an arrangement of n hyperplanes in d-dimensional real space says that the total number of faces bounding the cells intersected by another hyperplane is O(n d–1). This result is the basis of a time-optimal incremental algorithm that constructs a hyperplane arrangement and has a host of other algorithmic and combinatorial applications. Unfortunately, the original proof of the zone theorem, for d ge 3, turned out to contain a serious and irreparable error. This paper presents a new proof of the theorem. Our proof is based on an inductive argument, which also applies in the case of pseudo-hyperplane arrangements. We also briefly discuss the fallacies of the old proof along with some ways of partially saving that approach."}],"extern":"1","type":"conference","alternative_title":["LNCS"],"doi":"10.1007/BFb0038185","date_published":"1991-11-13T00:00:00Z","conference":{"name":"New Results and New Trends in Computer Science "},"language":[{"iso":"eng"}],"citation":{"chicago":"Edelsbrunner, Herbert, Raimund Seidel, and Micha Sharir. “On the Zone Theorem for Hyperplane Arrangements,” 555:108–23. Springer, 1991. https://doi.org/10.1007/BFb0038185.","mla":"Edelsbrunner, Herbert, et al. On the Zone Theorem for Hyperplane Arrangements. Vol. 555, Springer, 1991, pp. 108–23, doi:10.1007/BFb0038185.","short":"H. Edelsbrunner, R. Seidel, M. Sharir, in:, Springer, 1991, pp. 108–123.","ista":"Edelsbrunner H, Seidel R, Sharir M. 1991. On the zone theorem for hyperplane arrangements. New Results and New Trends in Computer Science , LNCS, vol. 555, 108–123.","apa":"Edelsbrunner, H., Seidel, R., & Sharir, M. (1991). On the zone theorem for hyperplane arrangements (Vol. 555, pp. 108–123). Presented at the New Results and New Trends in Computer Science , Springer. https://doi.org/10.1007/BFb0038185","ieee":"H. Edelsbrunner, R. Seidel, and M. Sharir, “On the zone theorem for hyperplane arrangements,” presented at the New Results and New Trends in Computer Science , 1991, vol. 555, pp. 108–123.","ama":"Edelsbrunner H, Seidel R, Sharir M. On the zone theorem for hyperplane arrangements. In: Vol 555. Springer; 1991:108-123. doi:10.1007/BFb0038185"},"main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/BFb0038185"}],"page":"108 - 123","quality_controlled":"1","article_processing_charge":"No","day":"13","month":"11"},{"day":"01","month":"01","publication_identifier":{"isbn":["978-0-89791-376-8"]},"article_processing_charge":"No","scopus_import":"1","conference":{"location":"San Francisco, CA, United States of America","start_date":"1991-01-28","end_date":"1991-01-30","name":"SODA: Symposium on Discrete Algorithms"},"date_published":"1991-01-01T00:00:00Z","language":[{"iso":"eng"}],"publication":"Proceedings of the 2nd annual ACM-SIAM symposium on Discrete algorithms","citation":{"chicago":"Chazelle, Bernard, Herbert Edelsbrunner, Leonidas Guibas, Micha Sharir, and Jack Snoeyink. “Computing a Face in an Arrangement of Line Segments.” In Proceedings of the 2nd Annual ACM-SIAM Symposium on Discrete Algorithms, 441–48. SIAM, 1991.","mla":"Chazelle, Bernard, et al. “Computing a Face in an Arrangement of Line Segments.” Proceedings of the 2nd Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 1991, pp. 441–48.","short":"B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, J. Snoeyink, in:, Proceedings of the 2nd Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 1991, pp. 441–448.","ista":"Chazelle B, Edelsbrunner H, Guibas L, Sharir M, Snoeyink J. 1991. Computing a face in an arrangement of line segments. Proceedings of the 2nd annual ACM-SIAM symposium on Discrete algorithms. SODA: Symposium on Discrete Algorithms, 441–448.","ieee":"B. Chazelle, H. Edelsbrunner, L. Guibas, M. Sharir, and J. Snoeyink, “Computing a face in an arrangement of line segments,” in Proceedings of the 2nd annual ACM-SIAM symposium on Discrete algorithms, San Francisco, CA, United States of America, 1991, pp. 441–448.","apa":"Chazelle, B., Edelsbrunner, H., Guibas, L., Sharir, M., & Snoeyink, J. (1991). Computing a face in an arrangement of line segments. In Proceedings of the 2nd annual ACM-SIAM symposium on Discrete algorithms (pp. 441–448). San Francisco, CA, United States of America: SIAM.","ama":"Chazelle B, Edelsbrunner H, Guibas L, Sharir M, Snoeyink J. Computing a face in an arrangement of line segments. In: Proceedings of the 2nd Annual ACM-SIAM Symposium on Discrete Algorithms. SIAM; 1991:441-448."},"main_file_link":[{"url":"https://dl.acm.org/doi/10.5555/127787.127864"}],"quality_controlled":"1","page":"441 - 448","abstract":[{"text":"We present a randomized incremental algorithm for computing a single face in an arrangement of n line segments in the plane that is fairly simple to implement. The expected running time of the algorithm is O (nα(n) log n). The analysis of the algorithm uses a novel approach that generalizes and extends the Clarkson-Shor analysis technique.","lang":"eng"}],"publist_id":"2065","extern":"1","type":"conference","author":[{"full_name":"Chazelle, Bernard","first_name":"Bernard","last_name":"Chazelle"},{"full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner","first_name":"Herbert","orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Guibas","first_name":"Leonidas","full_name":"Guibas, Leonidas"},{"first_name":"Micha","last_name":"Sharir","full_name":"Sharir, Micha"},{"full_name":"Snoeyink, Jack","first_name":"Jack","last_name":"Snoeyink"}],"date_updated":"2022-02-28T14:41:47Z","date_created":"2018-12-11T12:06:41Z","oa_version":"None","year":"1991","_id":"4058","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","acknowledgement":"NSF Grant CC R-89-21421. The authors wish to express their gratitude for the generous support and hospitality of the DEC Palo Alto Systems Research Center. ","title":"Computing a face in an arrangement of line segments","publication_status":"published","status":"public","publisher":"SIAM"},{"language":[{"iso":"eng"}],"conference":{"start_date":"1991-10-01","location":"San Juan, PR, United States of America","end_date":"1991-10-04","name":"FOCS: Foundations of Computer Science"},"doi":"10.1109/SFCS.1991.185400","date_published":"1991-12-01T00:00:00Z","quality_controlled":"1","page":"414 - 423","publication":"32nd Annual Symposium of Foundations of Computer Science","main_file_link":[{"url":"https://ieeexplore.ieee.org/document/185400"}],"citation":{"ama":"Edelsbrunner H, Tan T. A quadratic time algorithm for the minmax length triangulation. In: 32nd Annual Symposium of Foundations of Computer Science. IEEE; 1991:414-423. doi:10.1109/SFCS.1991.185400","ieee":"H. Edelsbrunner and T. Tan, “A quadratic time algorithm for the minmax length triangulation,” in 32nd Annual Symposium of Foundations of Computer Science, San Juan, PR, United States of America, 1991, pp. 414–423.","apa":"Edelsbrunner, H., & Tan, T. (1991). A quadratic time algorithm for the minmax length triangulation. In 32nd Annual Symposium of Foundations of Computer Science (pp. 414–423). San Juan, PR, United States of America: IEEE. https://doi.org/10.1109/SFCS.1991.185400","ista":"Edelsbrunner H, Tan T. 1991. A quadratic time algorithm for the minmax length triangulation. 32nd Annual Symposium of Foundations of Computer Science. FOCS: Foundations of Computer Science, 414–423.","short":"H. Edelsbrunner, T. Tan, in:, 32nd Annual Symposium of Foundations of Computer Science, IEEE, 1991, pp. 414–423.","mla":"Edelsbrunner, Herbert, and Tiow Tan. “A Quadratic Time Algorithm for the Minmax Length Triangulation.” 32nd Annual Symposium of Foundations of Computer Science, IEEE, 1991, pp. 414–23, doi:10.1109/SFCS.1991.185400.","chicago":"Edelsbrunner, Herbert, and Tiow Tan. “A Quadratic Time Algorithm for the Minmax Length Triangulation.” In 32nd Annual Symposium of Foundations of Computer Science, 414–23. IEEE, 1991. https://doi.org/10.1109/SFCS.1991.185400."},"day":"01","month":"12","article_processing_charge":"No","scopus_import":"1","date_created":"2018-12-11T12:06:40Z","date_updated":"2022-02-28T15:51:45Z","oa_version":"None","author":[{"full_name":"Edelsbrunner, Herbert","orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner","first_name":"Herbert"},{"full_name":"Tan, Tiow","last_name":"Tan","first_name":"Tiow"}],"status":"public","title":"A quadratic time algorithm for the minmax length triangulation","publication_status":"published","publisher":"IEEE","_id":"4055","year":"1991","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","extern":"1","abstract":[{"lang":"eng","text":"It is shown that a triangulation of a set of n points in the plane that minimizes the maximum edge length can be computed in time O(n2). The algorithm is reasonably easy to implement and is based on the theorem that there is a triangulation with minmax edge length that contains the relative neighborhood graph of the points as a subgraph. With minor modifications the algorithm works for arbitrary normed metrics."}],"publist_id":"2069","type":"conference"},{"article_processing_charge":"No","day":"01","page":"259 - 269","article_type":"original","citation":{"chicago":"Edelsbrunner, Herbert, and Weiping Shi. “An O(n Log^2 h) Time Algorithm for the Three-Dimensional Convex Hull Problem.” SIAM Journal on Computing. SIAM, 1991. https://doi.org/10.1137/0220016 .","mla":"Edelsbrunner, Herbert, and Weiping Shi. “An O(n Log^2 h) Time Algorithm for the Three-Dimensional Convex Hull Problem.” SIAM Journal on Computing, vol. 20, no. 2, SIAM, 1991, pp. 259–69, doi:10.1137/0220016 .","short":"H. Edelsbrunner, W. Shi, SIAM Journal on Computing 20 (1991) 259–269.","ista":"Edelsbrunner H, Shi W. 1991. An O(n log^2 h) time algorithm for the three-dimensional convex hull problem. SIAM Journal on Computing. 20(2), 259–269.","apa":"Edelsbrunner, H., & Shi, W. (1991). An O(n log^2 h) time algorithm for the three-dimensional convex hull problem. SIAM Journal on Computing. SIAM. https://doi.org/10.1137/0220016 ","ieee":"H. Edelsbrunner and W. Shi, “An O(n log^2 h) time algorithm for the three-dimensional convex hull problem,” SIAM Journal on Computing, vol. 20, no. 2. SIAM, pp. 259–269, 1991.","ama":"Edelsbrunner H, Shi W. An O(n log^2 h) time algorithm for the three-dimensional convex hull problem. SIAM Journal on Computing. 1991;20(2):259-269. doi:10.1137/0220016 "},"publication":"SIAM Journal on Computing","date_published":"1991-04-01T00:00:00Z","type":"journal_article","issue":"2","abstract":[{"lang":"eng","text":"An algorithm is presented that constructs the convex hull of a set of n points in three dimensions in worst-case time O(n log2h) and storage O(n), where h is the number of extreme points. This is an improvement of the O(nh) time gift-wrapping algorithm and, for certain values of h, of the O(n log n) time divide-and-conquer algorithm."}],"intvolume":" 20","status":"public","title":"An O(n log^2 h) time algorithm for the three-dimensional convex hull problem","_id":"4051","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","oa_version":"None","publication_identifier":{"eissn":["1095-7111"],"issn":["0097-5397"]},"month":"04","quality_controlled":"1","main_file_link":[{"url":"https://epubs.siam.org/doi/10.1137/0220016"}],"language":[{"iso":"eng"}],"doi":"10.1137/0220016 ","extern":"1","publist_id":"2072","publisher":"SIAM","publication_status":"published","year":"1991","volume":20,"date_created":"2018-12-11T12:06:39Z","date_updated":"2022-03-02T10:18:31Z","author":[{"last_name":"Edelsbrunner","first_name":"Herbert","orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert"},{"last_name":"Shi","first_name":"Weiping","full_name":"Shi, Weiping"}]},{"publist_id":"2071","extern":"1","author":[{"first_name":"Herbert","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert"}],"date_updated":"2022-03-02T10:06:55Z","date_created":"2018-12-11T12:06:41Z","volume":42,"year":"1991","publication_status":"published","publisher":"Elsevier","month":"04","publication_identifier":{"eissn":["1090-2724"],"issn":["0022-0000"]},"doi":"10.1016/0022-0000(91)90013-U","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://www.sciencedirect.com/science/article/pii/002200009190013U?via%3Dihub"}],"oa":1,"quality_controlled":"1","issue":"2","type":"journal_article","oa_version":"Published Version","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"4057","status":"public","title":"Corrigendum","intvolume":" 42","day":"01","article_processing_charge":"No","date_published":"1991-04-01T00:00:00Z","publication":"Journal of Computer and System Sciences","citation":{"short":"H. Edelsbrunner, Journal of Computer and System Sciences 42 (1991) 249–251.","mla":"Edelsbrunner, Herbert. “Corrigendum.” Journal of Computer and System Sciences, vol. 42, no. 2, Elsevier, 1991, pp. 249–51, doi:10.1016/0022-0000(91)90013-U.","chicago":"Edelsbrunner, Herbert. “Corrigendum.” Journal of Computer and System Sciences. Elsevier, 1991. https://doi.org/10.1016/0022-0000(91)90013-U.","ama":"Edelsbrunner H. Corrigendum. Journal of Computer and System Sciences. 1991;42(2):249-251. doi:10.1016/0022-0000(91)90013-U","ieee":"H. Edelsbrunner, “Corrigendum,” Journal of Computer and System Sciences, vol. 42, no. 2. Elsevier, pp. 249–251, 1991.","apa":"Edelsbrunner, H. (1991). Corrigendum. Journal of Computer and System Sciences. Elsevier. https://doi.org/10.1016/0022-0000(91)90013-U","ista":"Edelsbrunner H. 1991. Corrigendum. Journal of Computer and System Sciences. 42(2), 249–251."},"article_type":"original","page":"249 - 251"},{"scopus_import":"1","day":"01","article_processing_charge":"No","article_type":"original","page":"68 - 73","publication":"Pflügers Archiv : European Journal of Physiology","citation":{"chicago":"Jonas, Peter M, Duk Koh, Knut Kampe, Markus Hermsteiner, and Werner Vogel. “ATP-Sensitive and Ca-Activated K Channels in Vertebrate Axons: Novel Links between Metabolism and Excitability.” Pflügers Archiv : European Journal of Physiology. Springer, 1991. https://doi.org/10.1007/BF00370453.","short":"P.M. Jonas, D. Koh, K. Kampe, M. Hermsteiner, W. Vogel, Pflügers Archiv : European Journal of Physiology 418 (1991) 68–73.","mla":"Jonas, Peter M., et al. “ATP-Sensitive and Ca-Activated K Channels in Vertebrate Axons: Novel Links between Metabolism and Excitability.” Pflügers Archiv : European Journal of Physiology, vol. 418, no. 1–2, Springer, 1991, pp. 68–73, doi:10.1007/BF00370453.","apa":"Jonas, P. M., Koh, D., Kampe, K., Hermsteiner, M., & Vogel, W. (1991). ATP-sensitive and Ca-activated K channels in vertebrate axons: novel links between metabolism and excitability. Pflügers Archiv : European Journal of Physiology. Springer. https://doi.org/10.1007/BF00370453","ieee":"P. M. Jonas, D. Koh, K. Kampe, M. Hermsteiner, and W. Vogel, “ATP-sensitive and Ca-activated K channels in vertebrate axons: novel links between metabolism and excitability,” Pflügers Archiv : European Journal of Physiology, vol. 418, no. 1–2. Springer, pp. 68–73, 1991.","ista":"Jonas PM, Koh D, Kampe K, Hermsteiner M, Vogel W. 1991. ATP-sensitive and Ca-activated K channels in vertebrate axons: novel links between metabolism and excitability. Pflügers Archiv : European Journal of Physiology. 418(1–2), 68–73.","ama":"Jonas PM, Koh D, Kampe K, Hermsteiner M, Vogel W. ATP-sensitive and Ca-activated K channels in vertebrate axons: novel links between metabolism and excitability. Pflügers Archiv : European Journal of Physiology. 1991;418(1-2):68-73. doi:10.1007/BF00370453"},"date_published":"1991-01-01T00:00:00Z","type":"journal_article","abstract":[{"lang":"eng","text":"Two types of metabolically regulated K channels have been identified for the first time in enzymatically demyelinated fibres of amphibian sciatic nerve using the patch-clamp technique. A maxi K channel with a single-channel conductance of 132 pS (105 mM K on both sides of the membrane, 15°C) is activated both by micromolar concentrations of internal Ca and by depolarization. A second type of K channel with a conductance of 44 pS is inhibited by intracellular adenosine 5'-triphosphate (ATP) with a half-maximal inhibitory concentration (IC50) of 35 μM. It is blocked by submicromolar concentrations of external glibenclamide. Both channels are sensitive to external tetraethylammonium chloride (IC50 = 0.2 mM for the maxi K channel and 4.2 mM for the ATP-sensitive channel). They may be part of a complex feedback system regulating axonal excitability under various metabolic conditions.\r\n"}],"issue":"1-2","status":"public","title":"ATP-sensitive and Ca-activated K channels in vertebrate axons: novel links between metabolism and excitability","intvolume":" 418","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"3468","oa_version":"None","month":"01","publication_identifier":{"issn":["0031-6768"],"eissn":["1432-2013"]},"quality_controlled":"1","main_file_link":[{"url":"https://link.springer.com/article/10.1007/BF00370453"}],"external_id":{"pmid":["2041727"]},"language":[{"iso":"eng"}],"doi":"10.1007/BF00370453","extern":"1","publist_id":"2919","publication_status":"published","publisher":"Springer","year":"1991","pmid":1,"date_created":"2018-12-11T12:03:29Z","date_updated":"2022-03-03T14:42:06Z","volume":418,"author":[{"full_name":"Jonas, Peter M","id":"353C1B58-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5001-4804","first_name":"Peter M","last_name":"Jonas"},{"full_name":"Koh, Duk","first_name":"Duk","last_name":"Koh"},{"last_name":"Kampe","first_name":"Knut","full_name":"Kampe, Knut"},{"full_name":"Hermsteiner, Markus","first_name":"Markus","last_name":"Hermsteiner"},{"last_name":"Vogel","first_name":"Werner","full_name":"Vogel, Werner"}]},{"language":[{"iso":"eng"}],"doi":"10.1111/j.1558-5646.1991.tb04400.x","quality_controlled":"1","main_file_link":[{"url":" http://www.jstor.org/stable/2409660"}],"external_id":{"pmid":["28567861 "]},"publication_identifier":{"issn":["0014-3820"],"eissn":["1558-5646"]},"month":"03","volume":45,"date_created":"2018-12-11T12:04:25Z","date_updated":"2022-03-02T15:50:09Z","author":[{"last_name":"Szymura","first_name":"Jacek","full_name":"Szymura, Jacek"},{"orcid":"0000-0002-8548-5240","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","last_name":"Barton","first_name":"Nicholas H","full_name":"Barton, Nicholas H"}],"publisher":"Wiley-Blackwell","publication_status":"published","pmid":1,"acknowledgement":"This work was supported by grants from the Royal Society, the Nuffield Foundation, the University of London Central Research Fund, and the Polish Academy of Sciences (project MR-II.6). We also thank Dr. Jan Rafinski for help in collecting toads.","year":"1991","extern":"1","publist_id":"2737","date_published":"1991-03-01T00:00:00Z","page":"237 - 261","article_type":"original","citation":{"ama":"Szymura J, Barton NH. The genetic structure of the hybrid zone between the fire-bellied toads Bombina bombina and B. variegata: comparisons between transects and between loci. Evolution. 1991;45(2):237-261. doi:10.1111/j.1558-5646.1991.tb04400.x","apa":"Szymura, J., & Barton, N. H. (1991). The genetic structure of the hybrid zone between the fire-bellied toads Bombina bombina and B. variegata: comparisons between transects and between loci. Evolution. Wiley-Blackwell. https://doi.org/10.1111/j.1558-5646.1991.tb04400.x","ieee":"J. Szymura and N. H. Barton, “The genetic structure of the hybrid zone between the fire-bellied toads Bombina bombina and B. variegata: comparisons between transects and between loci,” Evolution, vol. 45, no. 2. Wiley-Blackwell, pp. 237–261, 1991.","ista":"Szymura J, Barton NH. 1991. The genetic structure of the hybrid zone between the fire-bellied toads Bombina bombina and B. variegata: comparisons between transects and between loci. Evolution. 45(2), 237–261.","short":"J. Szymura, N.H. Barton, Evolution 45 (1991) 237–261.","mla":"Szymura, Jacek, and Nicholas H. Barton. “The Genetic Structure of the Hybrid Zone between the Fire-Bellied Toads Bombina Bombina and B. Variegata: Comparisons between Transects and between Loci.” Evolution, vol. 45, no. 2, Wiley-Blackwell, 1991, pp. 237–61, doi:10.1111/j.1558-5646.1991.tb04400.x.","chicago":"Szymura, Jacek, and Nicholas H Barton. “The Genetic Structure of the Hybrid Zone between the Fire-Bellied Toads Bombina Bombina and B. Variegata: Comparisons between Transects and between Loci.” Evolution. Wiley-Blackwell, 1991. https://doi.org/10.1111/j.1558-5646.1991.tb04400.x."},"publication":"Evolution","article_processing_charge":"No","day":"01","scopus_import":"1","oa_version":"None","intvolume":" 45","status":"public","title":"The genetic structure of the hybrid zone between the fire-bellied toads Bombina bombina and B. variegata: comparisons between transects and between loci","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"3646","issue":"2","abstract":[{"text":"We compare the pattern of morphological and electrophoretic variation in the hybrid zone between Bombina bombina and B. variegata across two transects: one near Cracow and one 200 km away, near Przemysl in southeastern Poland. Morphological variation across the Przemysl transect had been surveyed more than 50 years ago; though we found a significant shift at one site, there is no evidence for gross movement over this period. Morphological and electrophoretic changes coincide, and the average shape of the clines is the same across both transects. At the center, most of the change in frequency of six diagnostic allozymes occurs within w = 6.05 km (2-unit support limits 5.56-6.54 km). These steep gradients are generated not by selection on the allozymes themselves, but by associations with other loci: though these markers are unlinked, they are in strong linkage disequilibrium with each other [R = D/ = 0.22 (0.15-0.29) at the center]. Disequilibria are broken up as alleles diffuse away from the zone and flow into the new genetic background. The net barrier to the flow of genes from bombina into variegata, which is generated by these disequilibria, is B = 51 (22-81) km. The fitness of hybrids must be substantially reduced to produce such a barrier [W̄H/W̄P = 0.58 (0.54-0.68)], and this selection must be spread over many loci [N = 55 (26-88)]. Alleles introgress significantly less far than would be expected from the age of the zone and the estimated dispersal rate [σ = 0.99 (0.82-1.14) km gen.-1/2]: this implies selection of se = 0.37 (0.15-0.58)% on the enzymes themselves. There is weak but significant linkage disequilibrium well away from the center of the zone; this, together with the presence of parental and F1 genotypes, suggests some long-range migration. However, such migration is not likely to cause significant introgression.\r\n","lang":"eng"}],"type":"journal_article"},{"date_published":"1991-01-01T00:00:00Z","publication":"Genetics","citation":{"chicago":"Barton, Nicholas H, and Michael Turelli. “Natural and Sexual Selection on Many Loci.” Genetics. Genetics Society of America, 1991. https://doi.org/10.1093/genetics/127.1.229.","mla":"Barton, Nicholas H., and Michael Turelli. “Natural and Sexual Selection on Many Loci.” Genetics, vol. 127, no. 1, Genetics Society of America, 1991, pp. 229–55, doi:10.1093/genetics/127.1.229.","short":"N.H. Barton, M. Turelli, Genetics 127 (1991) 229–255.","ista":"Barton NH, Turelli M. 1991. Natural and sexual selection on many loci. Genetics. 127(1), 229–255.","ieee":"N. H. Barton and M. Turelli, “Natural and sexual selection on many loci,” Genetics, vol. 127, no. 1. Genetics Society of America, pp. 229–255, 1991.","apa":"Barton, N. H., & Turelli, M. (1991). Natural and sexual selection on many loci. Genetics. Genetics Society of America. https://doi.org/10.1093/genetics/127.1.229","ama":"Barton NH, Turelli M. Natural and sexual selection on many loci. Genetics. 1991;127(1):229-255. doi:10.1093/genetics/127.1.229"},"article_type":"original","page":"229 - 255","day":"01","article_processing_charge":"No","scopus_import":"1","oa_version":"None","_id":"3647","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","status":"public","title":"Natural and sexual selection on many loci","intvolume":" 127","abstract":[{"lang":"eng","text":"A method is developed that describes the effects on an arbitrary number of autosomal loci of selection on haploid and diploid stages, of nonrandom mating between haploid individuals, and of recombination. We provide exact recursions for the dynamics of allele frequencies and linkage disequilibria (nonrandom associations of alleles across loci). When selection is weak relative to recombination, our recursions provide simple approximations for the linkage disequilibria among arbitrary combinations of loci. We show how previous models of sex-independent natural selection on diploids, assortative mating between haploids, and sexual selection on haploids can be analyzed in this framework. Using our weak-selection approximations, we derive new results concerning the coevolution of male traits and female preferences under natural and sexual selection. In particular, we provide general expressions for the intensity of linkage-disequilibrium induced selection experienced by loci that contribute to female preferences for specific male traits. Our general results support the previous observation that these indirect selection forces are so weak that they are unlikely to dominate the evolution of preference-producing loci."}],"issue":"1","type":"journal_article","doi":"10.1093/genetics/127.1.229","language":[{"iso":"eng"}],"external_id":{"pmid":["2016044"]},"main_file_link":[{"url":"http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1204308/"}],"quality_controlled":"1","month":"01","publication_identifier":{"issn":["0016-6731"]},"author":[{"full_name":"Barton, Nicholas H","last_name":"Barton","first_name":"Nicholas H","orcid":"0000-0002-8548-5240","id":"4880FE40-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Turelli, Michael","last_name":"Turelli","first_name":"Michael"}],"date_updated":"2022-03-02T15:23:02Z","date_created":"2018-12-11T12:04:25Z","volume":127,"acknowledgement":"BENGT OLLE BENGTSSON, JERRY COYNE, RICHARD GOMULKIEWICZ, CHUCK LANGLEY, LINDA PARTRIDGE, MONTY SLATKIN, and NEAL TAYLOR gave helpful comments on preliminary versions, which are gratefully acknowledged. We are particularly indebted to DICK HUDSON, MARK KIRKPATRICK and TOM NAGYLAKI for\r\nhelping to eliminate many obscurities. This work was supported by the Science and Engineering Research Council (GR/C/91529, GR/E/08507), the National Science Foundation (BSR-8866548), the Institute of Theoretical Dynamics and the Center for Population Biology at the University of California, Davis, and by the Swedish Natural Science Research Council. ","year":"1991","pmid":1,"publication_status":"published","publisher":"Genetics Society of America","publist_id":"2736","extern":"1"},{"language":[{"iso":"eng"}],"doi":"10.1111/j.1558-5646.1991.tb04326.x","quality_controlled":"1","external_id":{"pmid":["28568824"]},"main_file_link":[{"url":"http://www.jstor.org/stable/2409908"}],"month":"05","publication_identifier":{"eissn":["1558-5646"],"issn":["0014-3820"]},"date_created":"2018-12-11T12:04:25Z","date_updated":"2022-03-02T10:37:19Z","volume":45,"author":[{"full_name":"Barton, Nicholas H","first_name":"Nicholas H","last_name":"Barton","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8548-5240"},{"first_name":"Shahin","last_name":"Rouhani","full_name":"Rouhani, Shahin"}],"publication_status":"published","publisher":"Wiley-Blackwell","year":"1991","pmid":1,"extern":"1","publist_id":"2735","date_published":"1991-05-01T00:00:00Z","article_type":"original","page":"499 - 517","publication":"Evolution","citation":{"ista":"Barton NH, Rouhani S. 1991. The probability of fixation of a new karyotype in a continuous population. Evolution. 45(3), 499–517.","ieee":"N. H. Barton and S. Rouhani, “The probability of fixation of a new karyotype in a continuous population,” Evolution, vol. 45, no. 3. Wiley-Blackwell, pp. 499–517, 1991.","apa":"Barton, N. H., & Rouhani, S. (1991). The probability of fixation of a new karyotype in a continuous population. Evolution. Wiley-Blackwell. https://doi.org/10.1111/j.1558-5646.1991.tb04326.x","ama":"Barton NH, Rouhani S. The probability of fixation of a new karyotype in a continuous population. Evolution. 1991;45(3):499-517. doi:10.1111/j.1558-5646.1991.tb04326.x","chicago":"Barton, Nicholas H, and Shahin Rouhani. “The Probability of Fixation of a New Karyotype in a Continuous Population.” Evolution. Wiley-Blackwell, 1991. https://doi.org/10.1111/j.1558-5646.1991.tb04326.x.","mla":"Barton, Nicholas H., and Shahin Rouhani. “The Probability of Fixation of a New Karyotype in a Continuous Population.” Evolution, vol. 45, no. 3, Wiley-Blackwell, 1991, pp. 499–517, doi:10.1111/j.1558-5646.1991.tb04326.x.","short":"N.H. Barton, S. Rouhani, Evolution 45 (1991) 499–517."},"day":"01","article_processing_charge":"No","oa_version":"None","status":"public","title":"The probability of fixation of a new karyotype in a continuous population","intvolume":" 45","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"3648","abstract":[{"text":"We investigate the probability of fixation of a chromosome rearrangement in a subdivided population, concentrating on the limit where migration is so large relative to selection (m ≫ s) that the population can be thought of as being continuously distributed. We study two demes, and one- and two-dimensional populations. For two demes, the probability of fixation in the limit of high migration approximates that of a population with twice the size of a single deme: migration therefore greatly reduces the fixation probability. However, this behavior does not extend to a large array of demes. Then, the fixation probability depends primarily on neighborhood size (Nb), and may be appreciable even with strong selection and free gene flow (≈exp(-B·Nb) in one dimension, ≈exp(-B\\cdotNb) in two dimensions). Our results are close to those for the more tractable case of a polygenic character under disruptive selection.","lang":"eng"}],"issue":"3","type":"journal_article"},{"scopus_import":"1","article_processing_charge":"No","day":"20","citation":{"ieee":"B. Chazelle et al., “Ray shooting in polygons using geodesic triangulations,” in 18th International Colloquium on Automata, Languages and Programming, Madrid, Spain, 1991, vol. 510, pp. 661–673.","apa":"Chazelle, B., Edelsbrunner, H., Grigni, M., Guibas, L., Hershberger, J., Sharir, M., & Snoeyink, J. (1991). Ray shooting in polygons using geodesic triangulations. In 18th International Colloquium on Automata, Languages and Programming (Vol. 510, pp. 661–673). Madrid, Spain: Springer. https://doi.org/10.1007/3-540-54233-7_172","ista":"Chazelle B, Edelsbrunner H, Grigni M, Guibas L, Hershberger J, Sharir M, Snoeyink J. 1991. Ray shooting in polygons using geodesic triangulations. 18th International Colloquium on Automata, Languages and Programming. ICALP: Automata, Languages and Programming, LNCS, vol. 510, 661–673.","ama":"Chazelle B, Edelsbrunner H, Grigni M, et al. Ray shooting in polygons using geodesic triangulations. In: 18th International Colloquium on Automata, Languages and Programming. Vol 510. Springer; 1991:661-673. doi:10.1007/3-540-54233-7_172","chicago":"Chazelle, Bernard, Herbert Edelsbrunner, Michelangelo Grigni, Leonidas Guibas, John Hershberger, Micha Sharir, and Jack Snoeyink. “Ray Shooting in Polygons Using Geodesic Triangulations.” In 18th International Colloquium on Automata, Languages and Programming, 510:661–73. Springer, 1991. https://doi.org/10.1007/3-540-54233-7_172.","short":"B. Chazelle, H. Edelsbrunner, M. Grigni, L. Guibas, J. Hershberger, M. Sharir, J. Snoeyink, in:, 18th International Colloquium on Automata, Languages and Programming, Springer, 1991, pp. 661–673.","mla":"Chazelle, Bernard, et al. “Ray Shooting in Polygons Using Geodesic Triangulations.” 18th International Colloquium on Automata, Languages and Programming, vol. 510, Springer, 1991, pp. 661–73, doi:10.1007/3-540-54233-7_172."},"publication":"18th International Colloquium on Automata, Languages and Programming","page":"661 - 673","date_published":"1991-06-20T00:00:00Z","type":"conference","alternative_title":["LNCS"],"abstract":[{"lang":"eng","text":"Let P be a simple polygon with n vertices. We present a simple decomposition scheme that partitions the interior of P into O(n) so-called geodesic triangles, so that any line segment interior to P crosses at most 2 log n of these triangles. This decomposition can be used to preprocess P in time O(n log n) and storage O(n), so that any ray-shooting query can be answered in time O(log n).The algorithms are fairly simple and easy to implement. We also extend this technique to the case of ray-shooting amidst k polygonal obstacles with a total of n edges, so that a query can be answered in O(radicklog n) time."}],"_id":"4059","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","intvolume":" 510","title":"Ray shooting in polygons using geodesic triangulations","status":"public","oa_version":"None","month":"06","main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/3-540-54233-7_172"}],"quality_controlled":"1","doi":"10.1007/3-540-54233-7_172","conference":{"end_date":"1991-07-12","start_date":"1991-07-08","location":"Madrid, Spain","name":"ICALP: Automata, Languages and Programming"},"language":[{"iso":"eng"}],"publist_id":"2066","extern":"1","acknowledgement":"Work by Bernard Chazelle has been supported by NSF Grant CCR-87-00917. Work by Herbert Edelsbrunner has been supported by NSF Grant CCR-89-21421. Work by Micha Sharir has been supported by ONR Grants N00014-89-J-3042 and N00014-90-J-1284, by NSF Grant CCR-89-01484, and by grants from the U.S.-Israeli Binational Science Foundation, the Fund for Basic Research administered by the Israeli Academy of Sciences, and the G.I.F., the German-Israeli Foundation for Scientific Research and Development.","year":"1991","publisher":"Springer","publication_status":"published","author":[{"full_name":"Chazelle, Bernard","last_name":"Chazelle","first_name":"Bernard"},{"full_name":"Edelsbrunner, Herbert","first_name":"Herbert","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833"},{"last_name":"Grigni","first_name":"Michelangelo","full_name":"Grigni, Michelangelo"},{"full_name":"Guibas, Leonidas","first_name":"Leonidas","last_name":"Guibas"},{"first_name":"John","last_name":"Hershberger","full_name":"Hershberger, John"},{"first_name":"Micha","last_name":"Sharir","full_name":"Sharir, Micha"},{"full_name":"Snoeyink, Jack","first_name":"Jack","last_name":"Snoeyink"}],"volume":510,"date_created":"2018-12-11T12:06:42Z","date_updated":"2022-02-28T14:53:03Z"},{"intvolume":" 6","title":"Euclidean minimum spanning trees and bichromatic closest pairs","status":"public","_id":"4061","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","oa_version":"Published Version","type":"journal_article","issue":"1","abstract":[{"text":"We present an algorithm to compute a Euclidean minimum spanning tree of a given set S of N points in Ed in time O(Fd (N,N) logd N), where Fd (n,m) is the time required to compute a bichromatic closest pair among n red and m green points in Ed . If Fd (N,N)=Ω(N1+ε), for some fixed e{open}>0, then the running time improves to O(Fd (N,N)). Furthermore, we describe a randomized algorithm to compute a bichromatic closest pair in expected time O((nm log n log m)2/3+m log2 n+n log2 m) in E3, which yields an O(N4/3 log4/3 N) expected time, algorithm for computing a Euclidean minimum spanning tree of N points in E3. In d≥4 dimensions we obtain expected time O((nm)1-1/([d/2]+1)+ε+m log n+n log m) for the bichromatic closest pair problem and O(N2-2/([d/2]+1)ε) for the Euclidean minimum spanning tree problem, for any positive e{open}.","lang":"eng"}],"page":"407 - 422","article_type":"original","citation":{"ista":"Agarwal P, Edelsbrunner H, Schwarzkopf O, Welzl E. 1991. Euclidean minimum spanning trees and bichromatic closest pairs. Discrete & Computational Geometry. 6(1), 407–422.","ieee":"P. Agarwal, H. Edelsbrunner, O. Schwarzkopf, and E. Welzl, “Euclidean minimum spanning trees and bichromatic closest pairs,” Discrete & Computational Geometry, vol. 6, no. 1. Springer, pp. 407–422, 1991.","apa":"Agarwal, P., Edelsbrunner, H., Schwarzkopf, O., & Welzl, E. (1991). Euclidean minimum spanning trees and bichromatic closest pairs. Discrete & Computational Geometry. Springer. https://doi.org/10.1007/BF02574698","ama":"Agarwal P, Edelsbrunner H, Schwarzkopf O, Welzl E. Euclidean minimum spanning trees and bichromatic closest pairs. Discrete & Computational Geometry. 1991;6(1):407-422. doi:10.1007/BF02574698","chicago":"Agarwal, Pankaj, Herbert Edelsbrunner, Otfried Schwarzkopf, and Emo Welzl. “Euclidean Minimum Spanning Trees and Bichromatic Closest Pairs.” Discrete & Computational Geometry. Springer, 1991. https://doi.org/10.1007/BF02574698.","mla":"Agarwal, Pankaj, et al. “Euclidean Minimum Spanning Trees and Bichromatic Closest Pairs.” Discrete & Computational Geometry, vol. 6, no. 1, Springer, 1991, pp. 407–22, doi:10.1007/BF02574698.","short":"P. Agarwal, H. Edelsbrunner, O. Schwarzkopf, E. Welzl, Discrete & Computational Geometry 6 (1991) 407–422."},"publication":"Discrete & Computational Geometry","date_published":"1991-12-01T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"01","publisher":"Springer","publication_status":"published","acknowledgement":"The first, second, and fourth authors acknowledge support from the Center for Discrete Mathematics and Theoretical Computer Science (DIMACS), a National Science Foundation Science and Technology Center under NSF Grant STC 88-09648. The second author's work was supported by the National Science Foundation under Grant CCR-8714565. The third author's work was supported by the Deutsche Forschungsgemeinschaft under Grant A1 253/1-3, Schwerpunktprogramm \"Datenstrukturen und effiziente Algorithmen.\" The last two authors' work was also partially supported by the ESPRIT II Basic Research Action of the EC under Contract No. 3075 (project ALCOM).","year":"1991","volume":6,"date_updated":"2022-02-24T15:06:41Z","date_created":"2018-12-11T12:06:42Z","author":[{"full_name":"Agarwal, Pankaj","last_name":"Agarwal","first_name":"Pankaj"},{"orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner","first_name":"Herbert","full_name":"Edelsbrunner, Herbert"},{"full_name":"Schwarzkopf, Otfried","first_name":"Otfried","last_name":"Schwarzkopf"},{"first_name":"Emo","last_name":"Welzl","full_name":"Welzl, Emo"}],"extern":"1","publist_id":"2062","quality_controlled":"1","oa":1,"main_file_link":[{"open_access":"1","url":"https://link.springer.com/article/10.1007/BF02574698"}],"language":[{"iso":"eng"}],"doi":"10.1007/BF02574698","publication_identifier":{"eissn":["1432-0444"],"issn":["0179-5376"]},"month":"12"}]