四项新业务涉及构成及其重新编制的萨格勒布指数

Indonesian Journal of Combinatorics Pub Date : 2018-06-12 DOI:10.19184/IJC.2018.2.1.5

K. Pattabiraman, A. Santhakumar

{"title":"四项新业务涉及构成及其重新编制的萨格勒布指数","authors":"K. Pattabiraman, A. Santhakumar","doi":"10.19184/IJC.2018.2.1.5","DOIUrl":null,"url":null,"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.","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":"{\"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 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.\",\"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}","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

摘要

简单图G的第一个重新表述的萨格勒布指数EM1(G)被定义为G的所有边uv上的项(du+dv-2)2的和。2017年，Sarala等人引入了图的四种新运算(F-product)。本文研究了细分图和全图等一些著名图的f -积的第一个重新表述的萨格勒布指数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Four new operations related to composition and their reformulated Zagreb index

The first reformulated Zagreb index EM₁(G) of a simple graph G is defined as the sum of the terms (d_u+d_v-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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Indonesian Journal of Combinatorics

自引率

0.00%

发文量