{"title":"Balanced simplicial complex associated with 1 × p polyomino","authors":"Đorđe Barlić, Edin Liđan","doi":"10.5592/co/ccd.2022.01","DOIUrl":null,"url":null,"abstract":"Balanced simplicial complexes are important objects in combinatorics and commutative algebra. A d -dimensional simplicial complex is balanced if its vertices can be coloured into d +1 colors, so there is no monochromatic edge. In this article, we establish two results concerning balanced simplicial complexes assigned to tilings of m × n board in a plane and a torus by I p -omino tile","PeriodicalId":306191,"journal":{"name":"Proceedings of the 4th Croatian Combinatorial Days","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 4th Croatian Combinatorial Days","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5592/co/ccd.2022.01","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
Balanced simplicial complexes are important objects in combinatorics and commutative algebra. A d -dimensional simplicial complex is balanced if its vertices can be coloured into d +1 colors, so there is no monochromatic edge. In this article, we establish two results concerning balanced simplicial complexes assigned to tilings of m × n board in a plane and a torus by I p -omino tile
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