{"title":"Upper bounds on the algebraic connectivity of graphs","authors":"Zhen Lin, L. Miao","doi":"10.13001/ela.2022.5133","DOIUrl":null,"url":null,"abstract":"The algebraic connectivity of a connected graph $G$ is the second smallest eigenvalue of the Laplacian matrix of $G$. In this paper, some new upper bounds on algebraic connectivity are obtained by applying generalized interlacing to an appropriate quotient matrix.","PeriodicalId":50540,"journal":{"name":"Electronic Journal of Linear Algebra","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2022-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Journal of Linear Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.13001/ela.2022.5133","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 2
Abstract
The algebraic connectivity of a connected graph $G$ is the second smallest eigenvalue of the Laplacian matrix of $G$. In this paper, some new upper bounds on algebraic connectivity are obtained by applying generalized interlacing to an appropriate quotient matrix.
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