{"title":"与1 × p多项式相关的平衡简单配合物","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":"{\"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}","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
摘要
平衡简复是组合学和交换代数中的重要对象。如果一个d维简单复合体的顶点可以被染成d +1种颜色，那么它就是平衡的，所以没有单色的边。在本文中，我们建立了两个关于m × n板在平面和环面上由I p -omino瓷砖分配的平衡简单配合物的结果
Balanced simplicial complex associated with 1 × p polyomino
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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