Bicyclic graphs with maximum sum of the two largest Laplacian eigenvalues

Bicyclic graphs with maximum sum of the two largest Laplacian eigenvalues

Abstract Let G be a simple connected graph and S 2 ( G ) $S_{2}(G)$ be the sum of the two largest Laplacian eigenvalues of G. In this paper, we determine the bicyclic graph with maximum S 2 ( G ) $S_{2}(G)$ among all bicyclic graphs of order n, which confirms the conjecture of Guan et al. (J. Inequa...

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Bibliographic Details
Main Authors: Yirong Zheng, An Chang, Jianxi Li, Sa Rula
Format: Article
Language:English
Published: SpringerOpen 2016-11-01
Series:Journal of Inequalities and Applications
Subjects:
Laplacian eigenvalue
largest eigenvalue
sum of eigenvalue
bicyclic graph
Online Access:http://link.springer.com/article/10.1186/s13660-016-1235-5

Internet

http://link.springer.com/article/10.1186/s13660-016-1235-5

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