Some notes on the spectral perturbations of the signless Laplacian of a graph  

作　　者：YU Gui-dong CAI Gai-xiang FAN Yi-zheng 

机构地区：[1]School of Mathematics & Computation Sciences, Anqing Normal University [2]School of Mathematical Sciences, Anhui University

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2014年第2期241-248,共8页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(11071002);the Anhui Natural ScienceFoundation of China(11040606M14);NSF of Department of Education of Anhui Province(KJ2011A195)

摘　　要：Let G be a simple graph and let Q（G） be the signless Laplacian matrix of G. In this paper we obtain some results on the spectral perturbation of the matrix Q（G） under an edge addition or an edge contraction.Let G be a simple graph and let Q（G） be the signless Laplacian matrix of G. In this paper we obtain some results on the spectral perturbation of the matrix Q（G） under an edge addition or an edge contraction.

关 键 词：GRAPH signless Laplacian matrix spectral perturbation. 

分 类 号：O177[理学—数学] O157.5[理学—基础数学]