{"citation":{"short":"A. Akopyan, S. Avvakumov, R. Karasev, (2018).","ieee":"A. Akopyan, S. Avvakumov, and R. Karasev, “Convex fair partitions into arbitrary number of pieces.” arXiv, 2018.","apa":"Akopyan, A., Avvakumov, S., &#38; Karasev, R. (2018). Convex fair partitions into arbitrary number of pieces. arXiv.","mla":"Akopyan, Arseniy, et al. <i>Convex Fair Partitions into Arbitrary Number of Pieces</i>. 1804.03057, arXiv, 2018.","chicago":"Akopyan, Arseniy, Sergey Avvakumov, and Roman Karasev. “Convex Fair Partitions into Arbitrary Number of Pieces.” arXiv, 2018.","ista":"Akopyan A, Avvakumov S, Karasev R. 2018. Convex fair partitions into arbitrary number of pieces. 1804.03057.","ama":"Akopyan A, Avvakumov S, Karasev R. Convex fair partitions into arbitrary number of pieces. 2018."},"main_file_link":[{"url":"https://arxiv.org/abs/1804.03057","open_access":"1"}],"year":"2018","language":[{"iso":"eng"}],"_id":"75","page":"11","oa":1,"title":"Convex fair partitions into arbitrary number of pieces","date_updated":"2021-01-12T08:17:11Z","related_material":{"record":[{"id":"8156","status":"public","relation":"dissertation_contains"}]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"09","external_id":{"arxiv":["1804.03057"]},"ec_funded":1,"author":[{"last_name":"Akopyan","full_name":"Akopyan, Arseniy","first_name":"Arseniy","id":"430D2C90-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2548-617X"},{"last_name":"Avvakumov","full_name":"Avvakumov, Sergey","first_name":"Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Karasev","full_name":"Karasev, Roman","first_name":"Roman"}],"abstract":[{"lang":"eng","text":"We prove that any convex body in the plane can be partitioned into m convex parts of equal areas and perimeters for any integer m≥2; this result was previously known for prime powers m=pk. We also give a higher-dimensional generalization."}],"article_processing_charge":"No","publication_status":"published","publisher":"arXiv","status":"public","type":"preprint","day":"13","date_published":"2018-09-13T00:00:00Z","project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics"}],"article_number":"1804.03057","oa_version":"Preprint","department":[{"_id":"HeEd"},{"_id":"JaMa"}],"date_created":"2018-12-11T11:44:30Z"}