关于第一和第二萨格勒布指数的极值四环图

IF 0.6 Q3 MATHEMATICS Transactions on Combinatorics Pub Date : 2016-12-01 DOI:10.22108/TOC.2016.12878

N. Habibi, Tayebeh Dehghan Zadeh, A. Ashrafi

{"title":"关于第一和第二萨格勒布指数的极值四环图","authors":"N. Habibi, Tayebeh Dehghan Zadeh, A. Ashrafi","doi":"10.22108/TOC.2016.12878","DOIUrl":null,"url":null,"abstract":"‎The first Zagreb index‎, ‎$M_1(G)$‎, ‎and second Zagreb index‎, ‎$M_2(G)$‎, ‎of the graph $G$ is defined as $M_{1}(G)=sum_{vin‎ ‎V(G)}d^{2}(v)$ and $M_{2}(G)=sum_{e=uvin E(G)}d(u)d(v),$ where‎ ‎$d(u)$ denotes the degree of vertex $u$‎. ‎In this paper‎, ‎the first‎ ‎and second maximum values of the first and second Zagreb indices‎ ‎in the class of all $n-$vertex tetracyclic graphs are presented‎.","PeriodicalId":43837,"journal":{"name":"Transactions on Combinatorics","volume":"5 1","pages":"35-55"},"PeriodicalIF":0.6000,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Extremal tetracyclic graphs with respect to the first and second Zagreb indices\",\"authors\":\"N. Habibi, Tayebeh Dehghan Zadeh, A. Ashrafi\",\"doi\":\"10.22108/TOC.2016.12878\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"‎The first Zagreb index‎, ‎$M_1(G)$‎, ‎and second Zagreb index‎, ‎$M_2(G)$‎, ‎of the graph $G$ is defined as $M_{1}(G)=sum_{vin‎ ‎V(G)}d^{2}(v)$ and $M_{2}(G)=sum_{e=uvin E(G)}d(u)d(v),$ where‎ ‎$d(u)$ denotes the degree of vertex $u$‎. ‎In this paper‎, ‎the first‎ ‎and second maximum values of the first and second Zagreb indices‎ ‎in the class of all $n-$vertex tetracyclic graphs are presented‎.\",\"PeriodicalId\":43837,\"journal\":{\"name\":\"Transactions on Combinatorics\",\"volume\":\"5 1\",\"pages\":\"35-55\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2016-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions on Combinatorics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22108/TOC.2016.12878\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions on Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22108/TOC.2016.12878","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

‎第一萨格勒布指数‎‎1 (G)‎,美元‎和第二萨格勒布指数‎‎M_2 (G)‎,美元‎图G的定义是美元的美元M_ {1} (G) = sum_ {vin‎‎V (G)} d ^ {2} (V)和M_美元{2}(G) = sum_ {e = uvin e (G)} (u) d (V),美元在‎‎d (u)美元表示顶点u‎美元的程度。本文给出了所有$n-$顶点四环图的第一类和第二类萨格勒布指数的第一类最大值和第二类最大值。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Extremal tetracyclic graphs with respect to the first and second Zagreb indices

‎The first Zagreb index‎, ‎$M_1(G)$‎, ‎and second Zagreb index‎, ‎$M_2(G)$‎, ‎of the graph $G$ is defined as $M_{1}(G)=sum_{vin‎ ‎V(G)}d^{2}(v)$ and $M_{2}(G)=sum_{e=uvin E(G)}d(u)d(v),$ where‎ ‎$d(u)$ denotes the degree of vertex $u$‎. ‎In this paper‎, ‎the first‎ ‎and second maximum values of the first and second Zagreb indices‎ ‎in the class of all $n-$vertex tetracyclic graphs are presented‎.

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