{"quality_controlled":"1","publication":"Graphs and Combinatorics","status":"public","day":"17","date_published":"2011-03-17T00:00:00Z","scopus_import":1,"doi":"10.1007/s00373-011-1020-7","citation":{"ama":"Kerber M, Sagraloff M. A note on the complexity of real algebraic hypersurfaces. <i>Graphs and Combinatorics</i>. 2011;27(3):419-430. doi:<a href=\"https://doi.org/10.1007/s00373-011-1020-7\">10.1007/s00373-011-1020-7</a>","ieee":"M. Kerber and M. Sagraloff, “A note on the complexity of real algebraic hypersurfaces,” <i>Graphs and Combinatorics</i>, vol. 27, no. 3. Springer, pp. 419–430, 2011.","chicago":"Kerber, Michael, and Michael Sagraloff. “A Note on the Complexity of Real Algebraic Hypersurfaces.” <i>Graphs and Combinatorics</i>. Springer, 2011. <a href=\"https://doi.org/10.1007/s00373-011-1020-7\">https://doi.org/10.1007/s00373-011-1020-7</a>.","apa":"Kerber, M., &#38; Sagraloff, M. (2011). A note on the complexity of real algebraic hypersurfaces. <i>Graphs and Combinatorics</i>. Springer. <a href=\"https://doi.org/10.1007/s00373-011-1020-7\">https://doi.org/10.1007/s00373-011-1020-7</a>","short":"M. Kerber, M. Sagraloff, Graphs and Combinatorics 27 (2011) 419–430.","mla":"Kerber, Michael, and Michael Sagraloff. “A Note on the Complexity of Real Algebraic Hypersurfaces.” <i>Graphs and Combinatorics</i>, vol. 27, no. 3, Springer, 2011, pp. 419–30, doi:<a href=\"https://doi.org/10.1007/s00373-011-1020-7\">10.1007/s00373-011-1020-7</a>.","ista":"Kerber M, Sagraloff M. 2011. A note on the complexity of real algebraic hypersurfaces. Graphs and Combinatorics. 27(3), 419–430."},"issue":"3","language":[{"iso":"eng"}],"article_processing_charge":"No","abstract":[{"text":"Given an algebraic hypersurface O in ℝd, how many simplices are necessary for a simplicial complex isotopic to O? We address this problem and the variant where all vertices of the complex must lie on O. We give asymptotically tight worst-case bounds for algebraic plane curves. Our results gradually improve known bounds in higher dimensions; however, the question for tight bounds remains unsolved for d ≥ 3.","lang":"eng"}],"publisher":"Springer","publist_id":"3301","file_date_updated":"2020-07-14T12:46:08Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"HeEd"}],"_id":"3332","title":"A note on the complexity of real algebraic hypersurfaces","volume":27,"month":"03","page":"419 - 430","date_updated":"2021-01-12T07:42:43Z","date_created":"2018-12-11T12:02:43Z","type":"journal_article","year":"2011","ddc":["500"],"author":[{"full_name":"Kerber, Michael","last_name":"Kerber","first_name":"Michael","id":"36E4574A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8030-9299"},{"last_name":"Sagraloff","full_name":"Sagraloff, Michael","first_name":"Michael"}],"article_type":"original","publication_status":"published","oa":1,"oa_version":"Submitted Version","has_accepted_license":"1","intvolume":"        27","file":[{"checksum":"a63a1e3e885dcc68f1e3dea68dfbe213","file_size":143976,"access_level":"open_access","date_updated":"2020-07-14T12:46:08Z","creator":"dernst","file_id":"7869","relation":"main_file","file_name":"2011_GraphsCombi_Kerber.pdf","date_created":"2020-05-19T16:11:36Z","content_type":"application/pdf"}]}