{"title":"模糊图中的度公平连通支配","authors":"K. Rani","doi":"10.15520/AJCEM.2015.VOL4.ISS3.31.PP37-39","DOIUrl":null,"url":null,"abstract":"Let be a fuzzy graph. Let and be two vertices of . A fuzzy connected dominating set is to be a fuzzy equitable connected dominating set if for every there exists a vertex such that and where denotes degree of vertex and denotes the degree of vertex and . The minimum cardinality of fuzzy equitable connected domination set is denoted by . In this paper we introduce the concept of fuzzy equitable connected dominating set. Also we obtain some interesting results for this new parameter in equitable connected domination in fuzzy graphs.","PeriodicalId":173381,"journal":{"name":"Asian Journal of Current Engineering and Maths","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Degree Equitable Connected Domination in Fuzzy Graphs\",\"authors\":\"K. Rani\",\"doi\":\"10.15520/AJCEM.2015.VOL4.ISS3.31.PP37-39\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let be a fuzzy graph. Let and be two vertices of . A fuzzy connected dominating set is to be a fuzzy equitable connected dominating set if for every there exists a vertex such that and where denotes degree of vertex and denotes the degree of vertex and . The minimum cardinality of fuzzy equitable connected domination set is denoted by . In this paper we introduce the concept of fuzzy equitable connected dominating set. Also we obtain some interesting results for this new parameter in equitable connected domination in fuzzy graphs.\",\"PeriodicalId\":173381,\"journal\":{\"name\":\"Asian Journal of Current Engineering and Maths\",\"volume\":\"47 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Current Engineering and Maths\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15520/AJCEM.2015.VOL4.ISS3.31.PP37-39\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Current Engineering and Maths","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15520/AJCEM.2015.VOL4.ISS3.31.PP37-39","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Degree Equitable Connected Domination in Fuzzy Graphs
Let be a fuzzy graph. Let and be two vertices of . A fuzzy connected dominating set is to be a fuzzy equitable connected dominating set if for every there exists a vertex such that and where denotes degree of vertex and denotes the degree of vertex and . The minimum cardinality of fuzzy equitable connected domination set is denoted by . In this paper we introduce the concept of fuzzy equitable connected dominating set. Also we obtain some interesting results for this new parameter in equitable connected domination in fuzzy graphs.
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