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Journal of Inequalities and Applications

, 2016:287

First Online: 18 November 2016Received: 16 July 2016Accepted: 08 November 2016

Abstract

Let G be a simple connected graph and \S {2}G\ be the sum of the two largest Laplacian eigenvalues of G. In this paper, we determine the bicyclic graph with maximum \S {2}G\ among all bicyclic graphs of order n, which confirms the conjecture of Guan et al. J. Inequal. Appl. 2014:242, 2014 for the case of bicyclic graphs.

KeywordsLaplacian eigenvalue largest eigenvalue sum of eigenvalue bicyclic graph MSC05C50 15A48  Download fulltext PDF



Autor: Yirong Zheng - An Chang - Jianxi Li - Sa Rula

Fuente: https://link.springer.com/







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