一般萨格勒布邻接矩阵

IF 0.4 4区数学 Q4 MATHEMATICS

Contributions To Discrete Mathematics Pub Date : 2022-09-13 DOI:10.47443/cm.2022.045

Zhen Lin

{"title":"一般萨格勒布邻接矩阵","authors":"Zhen Lin","doi":"10.47443/cm.2022.045","DOIUrl":null,"url":null,"abstract":"Let A ( G ) and D ( G ) be the adjacency matrix and the degree diagonal matrix of a graph G , respectively. For any real number α , the general Zagreb adjacency matrix of G is deﬁned as Z α ( G ) = D α ( G )+ A ( G ) . In this paper, the positive semideﬁniteness, spectral moment, coeﬃcients of characteristic polynomials, and energy of the general Zagreb adjacency matrix are studied. The obtained results extend the corresponding results concerning the signless Laplacian matrix, the vertex Zagreb adjacency matrix, and the forgotten adjacency matrix.","PeriodicalId":48938,"journal":{"name":"Contributions To Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2022-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"General Zagreb Adjacency Matrix\",\"authors\":\"Zhen Lin\",\"doi\":\"10.47443/cm.2022.045\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let A ( G ) and D ( G ) be the adjacency matrix and the degree diagonal matrix of a graph G , respectively. For any real number α , the general Zagreb adjacency matrix of G is deﬁned as Z α ( G ) = D α ( G )+ A ( G ) . In this paper, the positive semideﬁniteness, spectral moment, coeﬃcients of characteristic polynomials, and energy of the general Zagreb adjacency matrix are studied. The obtained results extend the corresponding results concerning the signless Laplacian matrix, the vertex Zagreb adjacency matrix, and the forgotten adjacency matrix.\",\"PeriodicalId\":48938,\"journal\":{\"name\":\"Contributions To Discrete Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Contributions To Discrete Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.47443/cm.2022.045\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Contributions To Discrete Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.47443/cm.2022.045","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

设A (G)和D (G)分别为图G的邻接矩阵和度对角矩阵。对于任意实数α，定义G的一般Zagreb邻接矩阵为Z α (G) = D α (G)+ A (G)。本文研究了一般Zagreb邻接矩阵的正半正定性、谱矩、特征多项式系数和能量。所得结果推广了无符号拉普拉斯矩阵、顶点萨格勒布邻接矩阵和遗忘邻接矩阵的相应结果。

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

General Zagreb Adjacency Matrix

Let A ( G ) and D ( G ) be the adjacency matrix and the degree diagonal matrix of a graph G , respectively. For any real number α , the general Zagreb adjacency matrix of G is deﬁned as Z α ( G ) = D α ( G )+ A ( G ) . In this paper, the positive semideﬁniteness, spectral moment, coeﬃcients of characteristic polynomials, and energy of the general Zagreb adjacency matrix are studied. The obtained results extend the corresponding results concerning the signless Laplacian matrix, the vertex Zagreb adjacency matrix, and the forgotten adjacency matrix.

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

Contributions To Discrete Mathematics MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Contributions to Discrete Mathematics (ISSN 1715-0868) is a refereed e-journal dedicated to publishing significant results in a number of areas of pure and applied mathematics. Based at the University of Calgary, Canada, CDM is free for both readers and authors, edited and published online and will be mirrored at the European Mathematical Information Service and the National Library of Canada.