{"title":"图与Alexandroff空间的对应关系","authors":"B. Harbi","doi":"10.26713/cma.v14i1.2128","DOIUrl":null,"url":null,"abstract":". In this paper, we study the correspondence between graphs and Alexandroff spaces. It is shown that a topological space X is Alexandroff if and only if X is a graph equipped with the X -right topology.","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":"64 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Correspondence Between Graphs and Alexandroff Spaces\",\"authors\":\"B. Harbi\",\"doi\":\"10.26713/cma.v14i1.2128\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we study the correspondence between graphs and Alexandroff spaces. It is shown that a topological space X is Alexandroff if and only if X is a graph equipped with the X -right topology.\",\"PeriodicalId\":43490,\"journal\":{\"name\":\"Communications in Mathematics and Applications\",\"volume\":\"64 1\",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2023-05-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26713/cma.v14i1.2128\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26713/cma.v14i1.2128","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
The Correspondence Between Graphs and Alexandroff Spaces
. In this paper, we study the correspondence between graphs and Alexandroff spaces. It is shown that a topological space X is Alexandroff if and only if X is a graph equipped with the X -right topology.
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