{"title":"Four new operations related to composition and their reformulated Zagreb index","authors":"K. Pattabiraman, A. Santhakumar","doi":"10.19184/IJC.2018.2.1.5","DOIUrl":null,"url":null,"abstract":"The first reformulated Zagreb index EM<sub>1</sub>(G) of a simple graph G is defined as the sum of the terms (d<sub>u</sub>+d<sub>v</sub><span style=\"font-family: symbol;\">-</span>2)<sup>2</sup> over all edges uv of G. In 2017, Sarala et al. introduced four new operations (F-product) of graphs. In this paper, we study the first reformulated Zagreb index for the F-product of some special well-known graphs such as subdivision and total graph.","PeriodicalId":13506,"journal":{"name":"Indonesian Journal of Combinatorics","volume":"100 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indonesian Journal of Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.19184/IJC.2018.2.1.5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
The first reformulated Zagreb index EM1(G) of a simple graph G is defined as the sum of the terms (du+dv-2)2 over all edges uv of G. In 2017, Sarala et al. introduced four new operations (F-product) of graphs. In this paper, we study the first reformulated Zagreb index for the F-product of some special well-known graphs such as subdivision and total graph.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
