{"title":"Spectral graph theory","authors":"Amol Sahebrao Hinge","doi":"10.1090/cbms/129/05","DOIUrl":null,"url":null,"abstract":"Spectral graph theory is a vast and expanding area of combinatorics. We start these notes by introducing and motivating classical matrices associated with a graph, and then show how to derive combinatorial properties of a graph from the eigenvalues of these matrices. We then examine more modern results such as polynomial interlacing and high dimensional expanders","PeriodicalId":440287,"journal":{"name":"Zeta and 𝐿-functions in Number Theory and\n Combinatorics","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2194","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Zeta and 𝐿-functions in Number Theory and\n Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/cbms/129/05","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2194
Abstract
Spectral graph theory is a vast and expanding area of combinatorics. We start these notes by introducing and motivating classical matrices associated with a graph, and then show how to derive combinatorial properties of a graph from the eigenvalues of these matrices. We then examine more modern results such as polynomial interlacing and high dimensional expanders
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