{"title":"Shellable flag simplicial complexes of non-simple polyominoes","authors":"Francesco Navarra","doi":"arxiv-2408.12367","DOIUrl":null,"url":null,"abstract":"In this article we investigate the shellability of the flag simplicial\ncomplexes attached to non-simple and thin polyominoes. As a consequence, we\nobtain the Cohen-Macaulayness and a combinatorial interepetation of the\n$h$-polynomial of the related coordinate rings.","PeriodicalId":501475,"journal":{"name":"arXiv - MATH - Commutative Algebra","volume":"7 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Commutative Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.12367","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this article we investigate the shellability of the flag simplicial
complexes attached to non-simple and thin polyominoes. As a consequence, we
obtain the Cohen-Macaulayness and a combinatorial interepetation of the
$h$-polynomial of the related coordinate rings.
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