{"title":"图表的谐波状态指数","authors":"H. Ramane, B. Basavanagoud, A. Yalnaik","doi":"10.18052/WWW.SCIPRESS.COM/BMSA.17.24","DOIUrl":null,"url":null,"abstract":"The status of a vertex u is defined as the sum of the distances between u and all other vertices of a graph G. In this paper we have defined the harmonic status index of a graph and obtained the bounds for it. Further the harmonic status indices of some graphs are obtained.","PeriodicalId":252632,"journal":{"name":"Bulletin of Mathematical Sciences and Applications","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":"{\"title\":\"Harmonic Status Index of Graphs\",\"authors\":\"H. Ramane, B. Basavanagoud, A. Yalnaik\",\"doi\":\"10.18052/WWW.SCIPRESS.COM/BMSA.17.24\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The status of a vertex u is defined as the sum of the distances between u and all other vertices of a graph G. In this paper we have defined the harmonic status index of a graph and obtained the bounds for it. Further the harmonic status indices of some graphs are obtained.\",\"PeriodicalId\":252632,\"journal\":{\"name\":\"Bulletin of Mathematical Sciences and Applications\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of Mathematical Sciences and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.17.24\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of Mathematical Sciences and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18052/WWW.SCIPRESS.COM/BMSA.17.24","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 17
摘要
顶点 u 的状态被定义为 u 与图 G 中所有其他顶点之间的距离之和。本文定义了图的谐波状态指数,并获得了其边界。此外,我们还得到了一些图的谐波状态指数。
The status of a vertex u is defined as the sum of the distances between u and all other vertices of a graph G. In this paper we have defined the harmonic status index of a graph and obtained the bounds for it. Further the harmonic status indices of some graphs are obtained.