{"title":"最小正则封面为多面体的手性多面体","authors":"Gabe Cunningham","doi":"10.1016/j.jcta.2023.105839","DOIUrl":null,"url":null,"abstract":"<div><p><span>We give a criterion for when the smallest regular cover of a chiral polytope </span><span><math><mi>P</mi></math></span> is itself a polytope, using only information about the facets and vertex-figures of <span><math><mi>P</mi></math></span>.</p></div>","PeriodicalId":50230,"journal":{"name":"Journal of Combinatorial Theory Series A","volume":"204 ","pages":"Article 105839"},"PeriodicalIF":0.9000,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Chiral polytopes whose smallest regular cover is a polytope\",\"authors\":\"Gabe Cunningham\",\"doi\":\"10.1016/j.jcta.2023.105839\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p><span>We give a criterion for when the smallest regular cover of a chiral polytope </span><span><math><mi>P</mi></math></span> is itself a polytope, using only information about the facets and vertex-figures of <span><math><mi>P</mi></math></span>.</p></div>\",\"PeriodicalId\":50230,\"journal\":{\"name\":\"Journal of Combinatorial Theory Series A\",\"volume\":\"204 \",\"pages\":\"Article 105839\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-12-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Combinatorial Theory Series A\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0097316523001073\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Combinatorial Theory Series A","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0097316523001073","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Chiral polytopes whose smallest regular cover is a polytope
We give a criterion for when the smallest regular cover of a chiral polytope is itself a polytope, using only information about the facets and vertex-figures of .
期刊介绍：
The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.
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