On the α-spectral radius of irregular uniform hypergraphs

被引：22

作者：

Lin, Hongying ^{[1
]}

Guo, Haiyan ^{[2
]}

Zhou, Bo ^{[2
]}

机构：

[1] Tianjin Univ, Ctr Appl Math, Tianjin, Peoples R China

[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2020年 / 68卷 / 02期

基金：

中国国家自然科学基金;

关键词：

alpha-spectral radius; adjacency tensor; signless Laplacian tensor; irregular uniform hypergraph; maximum degree; LAPLACIAN; TENSORS; EIGENVALUES;

D O I：

10.1080/03081087.2018.1502253

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For and a uniform hypergraph G, we consider the spectral radius of , which is called the alpha-spectral radius of G, where and are the diagonal tensor of degrees and the adjacency tensor of G, respectively. We give a upper bound for the alpha-spectral radius of an n-vertex connected irregular k-uniform hypergraph with using number of vertices, maximum degree and diameter.

引用

页码：265 / 277

页数：13

共 18 条

[1]

Cioaba SM, 2007, ELECTRON J COMB, V14

[2] Spectra of uniform hypergraphs [J].

Cooper, Joshua ;

Dutle, Aaron .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (09) :3268-3292

[3] Perron-Frobenius theorem for nonnegative multilinear forms and extensions [J].

Friedland, S. ;

Gaubert, S. ;

Han, L. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (02) :738-749

[4]

Guo HY, ARXIV180503456

[5] A new eigenvalue inclusion set for tensors and its applications [J].

Li, Chaoqian ;

Chen, Zhen ;

Li, Yaotang .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 481 :36-53

[6] Principal eigenvectors and spectral radii of uniform hypergraphs [J].

Li, Haifeng ;

Zhou, Jiang ;

Bu, Changjiang .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 544 :273-285

[7]

Lim LH, 2005, IEEE CAMSAP 2005: FIRST INTERNATIONAL WORKSHOP ON COMPUTATIONAL ADVANCES IN MULTI-SENSOR ADAPTIVE PROCESSING, P129

[8] Upper bounds for H- and Z-spectral radii of uniform hypergraphs [J].

Lin, Hongying ;

Zhou, Bo ;

Mo, Biao .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 510 :205-221

[9] MERGING THE A- AND Q-SPECTRAL THEORIES [J].

Nikiforov, V. .

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2017, 11 (01) :81-107

[10] On the Aα-spectra of trees [J].

Nikiforov, Vladimir ;

Pasten, Germain ;

Rojo, Oscar ;

Soto, Ricardo L. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 520 :286-305

← 1 2 →