{"title":"$(n times 6)$网格图的独立复数","authors":"Takahiro Matsushita, Shun Wakatsuki","doi":"10.4310/hha.2024.v26.n1.a2","DOIUrl":null,"url":null,"abstract":"We determine the homotopy types of the independence complexes of the $(n \\times 6)$-square grid graphs. In fact, we show that these complexes are homotopy equivalent to wedges of spheres.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Independence complexes of $(n \\\\times 6)$-grid graphs\",\"authors\":\"Takahiro Matsushita, Shun Wakatsuki\",\"doi\":\"10.4310/hha.2024.v26.n1.a2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We determine the homotopy types of the independence complexes of the $(n \\\\times 6)$-square grid graphs. In fact, we show that these complexes are homotopy equivalent to wedges of spheres.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-01-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/hha.2024.v26.n1.a2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/hha.2024.v26.n1.a2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Independence complexes of $(n \times 6)$-grid graphs
We determine the homotopy types of the independence complexes of the $(n \times 6)$-square grid graphs. In fact, we show that these complexes are homotopy equivalent to wedges of spheres.
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