The Adjacency and Signless Laplacian Spectra of Cored Hypergraphs and Power Hypergraphs

Jun Jie Yue; Li Ping Zhang; Mei Lu; Liqun Qi

doi:10.1007/s40305-016-0141-3

The Adjacency and Signless Laplacian Spectra of Cored Hypergraphs and Power Hypergraphs

Jun Jie Yue, Li Ping Zhang, Mei Lu, Liqun Qi

Research output: Journal article publication › Journal article › Academic research › peer-review

7 Citations (Scopus)

Abstract

In this paper, we study the adjacency and signless Laplacian tensors of cored hypergraphs and power hypergraphs. We investigate the properties of their adjacency and signless Laplacian H-eigenvalues. Especially, we find out the largest H-eigenvalues of adjacency and signless Laplacian tensors for uniform squids. We also compute the H-spectra of sunflowers and some numerical results are reported for the H-spectra.

Original language	English
Pages (from-to)	27-43
Number of pages	17
Journal	Journal of the Operations Research Society of China
Volume	5
Issue number	1
DOIs	https://doi.org/10.1007/s40305-016-0141-3
Publication status	Published - 1 Mar 2017

Keywords

Adjacency tensor
H-eigenvalue
Hypergraph
Signless Laplacian tensor
Squid
Sunflower

ASJC Scopus subject areas

General Decision Sciences

More information

10.1007/s40305-016-0141-3

Cite this

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title = "The Adjacency and Signless Laplacian Spectra of Cored Hypergraphs and Power Hypergraphs",

abstract = "In this paper, we study the adjacency and signless Laplacian tensors of cored hypergraphs and power hypergraphs. We investigate the properties of their adjacency and signless Laplacian H-eigenvalues. Especially, we find out the largest H-eigenvalues of adjacency and signless Laplacian tensors for uniform squids. We also compute the H-spectra of sunflowers and some numerical results are reported for the H-spectra.",

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AB - In this paper, we study the adjacency and signless Laplacian tensors of cored hypergraphs and power hypergraphs. We investigate the properties of their adjacency and signless Laplacian H-eigenvalues. Especially, we find out the largest H-eigenvalues of adjacency and signless Laplacian tensors for uniform squids. We also compute the H-spectra of sunflowers and some numerical results are reported for the H-spectra.

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KW - H-eigenvalue

KW - Hypergraph

KW - Signless Laplacian tensor

KW - Squid

KW - Sunflower

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DO - 10.1007/s40305-016-0141-3

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JO - Journal of the Operations Research Society of China

JF - Journal of the Operations Research Society of China

IS - 1

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The Adjacency and Signless Laplacian Spectra of Cored Hypergraphs and Power Hypergraphs

Abstract

Keywords

ASJC Scopus subject areas

More information

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