Characterizations of the spectral radius of nonnegative weakly irreducible tensors via a digraph

被引：5

作者：

Sun, Lizhu ^{[1
]}

Zheng, Baodong ^{[1
]}

Wei, Yimin ^{[2
]}

Bu, Changjiang ^{[3
]}

机构：

[1] Harbin Inst Technol, Sch Sci, Harbin 150006, Peoples R China

[2] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Sch Math Sci, Shanghai 200433, Peoples R China

[3] Harbin Engn Univ, Coll Automat, Coll Sci, Harbin, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2016年 / 64卷 / 04期

基金：

中国国家自然科学基金;

关键词：

nonnegative tensor; spectral radius; digraph; k-uniform hypergraph; PERRON-FROBENIUS THEOREM; EIGENVALUES;

D O I：

10.1080/03081087.2015.1120702

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a nonnegative weakly irreducible tensor A, we give some characterizations of the spectral radius of A, by using the digraph associated with the tensor A. As applications, some bounds on the spectral radius of the adjacency tensor and the signless Laplacian tensor of a k-uniform hypergraph are obtained.

引用

页码：737 / 744

页数：8

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