On two conjectures on sum of the powers of signless Laplacian eigenvalues of a graph

被引：2

作者：

Ashraf, Firouzeh ^{[1
,2
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

LINEAR & MULTILINEAR ALGEBRA | 2016年 / 64卷 / 07期

关键词：

signless Laplacian eigenvalues of graph; 05C50;

D O I：

10.1080/03081087.2015.1083525

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a simple graph and Q(G) be the signless Laplacian matrix of G. Let S-alpha(G) be the sum of the alpha th powers of the nonzero eigenvalues of Q(G). We disprove two conjectures by You and Yang on the extremal values of S-a(G) among bipartite graphs and among graphs with bounded connectivity.

引用

页码：1314 / 1320

页数：7