Spectra of general hypergraphs

被引：50

作者：

Banerjee, Anirban ^{[1
,2
]}

Char, Arnab ^{[1
]}

Mondal, Bibhash ^{[1
]}

机构：

[1] Indian Inst Sci Educ & Res Kolkata, Dept Math & Stat, Mohanpur 741246, India

[2] Indian Inst Sci Educ & Res Kolkata, Dept Biol Sci, Mohanpur 741246, India

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 518卷

关键词：

Hypergraph; Adjacency hypermatrix; Spectral theory of hypergraphs; Laplacian hypermatrix; Normalized Laplacian; SIGNLESS LAPLACIAN TENSORS; PERRON-FROBENIUS THEOREM; NONNEGATIVE TENSORS; UNIFORM HYPERGRAPHS; H-EIGENVALUES; DETERMINANTS;

D O I：

10.1016/j.laa.2016.12.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here, we show a method to reconstruct connectivity hypermatrices of a general hypergraph (without any self loop or multiple edge) using tensor. We also study the different spectral properties of these hypermatrices and find that these properties are similar for graphs and uniform hypergraphs. The representation of a connectivity hypermatrix that is proposed here can be very useful for the further development in spectral hypergraph theory. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：14 / 30

页数：17

共 24 条

[1] On the spectrum of the normalized graph Laplacian [J].