On the maximal eigenvalue of signless P-Laplacian matrix for a graph

被引：0
|
作者：
Mei, Ying [1 ]
机构：
[1] Lishui Univ, Dept Math, Lishui 323000, Peoples R China
来源：
PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 2 | 2009年
关键词：
Eigenvalues; Closed walk; Rank of matrix; REGULARIZATION;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The signless P-Laplacian Qp(G) of a function f o V is given by Qp(G)f(v) = Sigma(u is an element of V,u-nu) (f(nu) + f (u))([p-1]), where the symbol t([p]) denotes a power function that preserves the sign of t, i.e. t([p]) = sign(t).vertical bar t vertical bar(p). In this paper we investigate the signless P-Laplacian matrix for a connected graph. And we present a bound of the maximal signless P-Laplacian eigenvalue and discuss the corresponding function.
引用
收藏
页码：169 / 172
页数：4
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