{"title":"Unicyclic Graphs with Exactly Three Main Eigenvalues","authors":"Derong Suna, Shuo Li, Qingsong Zou","doi":"10.1109/ICICTA.2015.270","DOIUrl":null,"url":null,"abstract":"In this work, unicyclic graphs with exactly three main Eigen values is studied by using the equitable partition of graphs. By depicting the characteristics of all unicyclic graphs with 3-portion equitable partition, it shows all these unicyclic graphs have exactly three main Eigen values. In addition, the calculation formula of three main Eigen values of these unicyclic graphs is given.","PeriodicalId":231694,"journal":{"name":"2015 8th International Conference on Intelligent Computation Technology and Automation (ICICTA)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2015-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 8th International Conference on Intelligent Computation Technology and Automation (ICICTA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICTA.2015.270","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, unicyclic graphs with exactly three main Eigen values is studied by using the equitable partition of graphs. By depicting the characteristics of all unicyclic graphs with 3-portion equitable partition, it shows all these unicyclic graphs have exactly three main Eigen values. In addition, the calculation formula of three main Eigen values of these unicyclic graphs is given.
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