{"title":"图的顶点集诱导的拓扑","authors":"Gnanachandra Paulraj, Lalithambigai K","doi":"10.12723/mjs.64.3","DOIUrl":null,"url":null,"abstract":"In this paper, subbasis for different topologies on vertex set of a simple graph without isolated vertices is introduced. Some properties of these topologies are investigated. Interior, closure, exterior and boundary of a vertex induced subgraph were defined and some basic properties were studied.","PeriodicalId":18050,"journal":{"name":"Mapana Journal of Sciences","volume":"46 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Topologies Induced by Vertex Set of Graphs\",\"authors\":\"Gnanachandra Paulraj, Lalithambigai K\",\"doi\":\"10.12723/mjs.64.3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, subbasis for different topologies on vertex set of a simple graph without isolated vertices is introduced. Some properties of these topologies are investigated. Interior, closure, exterior and boundary of a vertex induced subgraph were defined and some basic properties were studied.\",\"PeriodicalId\":18050,\"journal\":{\"name\":\"Mapana Journal of Sciences\",\"volume\":\"46 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mapana Journal of Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12723/mjs.64.3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mapana Journal of Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12723/mjs.64.3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, subbasis for different topologies on vertex set of a simple graph without isolated vertices is introduced. Some properties of these topologies are investigated. Interior, closure, exterior and boundary of a vertex induced subgraph were defined and some basic properties were studied.
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