The real eigenvalues of signless P-Laplacian matriz for star graph

摘要：

Let G=(V,E) be a simple connected undirected graph with n vertices and m edges. The signless P-Laplacian Qp(G) of a function f on V is given by Qp(G)f(v)= ∑(u∈V,u-v) (f(v) +f(u))p-1,where the symbol t (p)denotes a power function that preservesthe sign of t,i.e.t(p)=sign(t)·|t|p.A real numberλis called an eigenvalue of Qp(G)if there existe a function f≠0 on V such that λf(v)p-1=∑(f(u)+f(v))p-1 And this function f is called the corresponding eigenfunction to λ In this paper we investigate the real eigenvalues of star graph and theresult shows that the only real eigenvalues of Qp(G)are 0,1and (1+n1/p-1)p-1.

关键词： signless P-Laplacian eigenvalues star graph eigenfunction

作者: Guihai Yu Qingwen Wang

作者单位: Department of Mathematics, Shanghai Universtiy 99 Shangda Road, Shanghai 200444, P.R.China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 1276-1279

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）