{"title":"Products of graphs and Nordhaus-Gaddum type inequalities for eigenvalues","authors":"Nastaran Keyvan, F. Rahmati","doi":"10.22108/TOC.2017.21474","DOIUrl":null,"url":null,"abstract":"In this paper, we obtain α as coefficient for the G = Kαn∪K(1−α)n and by which we discuss Nikiforov’s conjecture for λ1 and Aouchiche and Hansen’s conjecture for q1 in Nordhaus-Gaddum type inequalities. Furthermore, by the properties of the products of graphs we put forward a new approach to find some bounds of Nordhaus-Gaddum type inequalities.","PeriodicalId":43837,"journal":{"name":"Transactions on Combinatorics","volume":"7 1","pages":"31-36"},"PeriodicalIF":0.6000,"publicationDate":"2018-03-01","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.2017.21474","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
Abstract
In this paper, we obtain α as coefficient for the G = Kαn∪K(1−α)n and by which we discuss Nikiforov’s conjecture for λ1 and Aouchiche and Hansen’s conjecture for q1 in Nordhaus-Gaddum type inequalities. Furthermore, by the properties of the products of graphs we put forward a new approach to find some bounds of Nordhaus-Gaddum type inequalities.
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