On three conjectures involving the signless Laplacian spectral radius of graphs-Reference-Cited by-同舟云学术

On three conjectures involving the signless Laplacian spectral radius of graphs

Published:2009 Issue:99 Volume:85 Page:35-38
ISSN:0350-1302
Container-title:Publications de l'Institut Math?matique (Belgrade)
language:en
Short-container-title:Publ Inst Math (Belgr)

Author:

Feng Lihua¹,Yu Guihai¹

Affiliation:

1. School of Mathematics Shandong Institute of Business and Technology, Yantai, Shandong, P.R. China

Abstract

We study the signless Laplacian spectral radius of graphs and prove three conjectures of Cvetkovic, Rowlinson, and Simic [Eigenvalue bounds for the signless Laplacian, Publ. Inst. Math., Nouv. S?r. 81(95) (2007), 11-27].

Publisher

National Library of Serbia

Subject

General Mathematics

Reference7 articles.

1. Signless Laplacians and line graphs

2. Signless Laplacians of finite graphs

3. Eigenvalue bounds for the signless laplacian

4. A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph

5. Maximizing the sum of the squares of the degrees of a graph

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