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author:

Xie, Jinshan (Xie, Jinshan.) [1] | Chang, An (Chang, An.) [2] (Scholars:常安)

Indexed by:

Scopus SCIE CSCD

Abstract:

The signless Laplacian tensor and its H-eigenvalues for an even uniform hypergraph are introduced in this paper. Some fundamental properties of them for an even uniform hypergraph are obtained. In particular, the smallest and the largest H-eigenvalues of the signless Laplacian tensor for an even uniform hypergraph are discussed, and their relationships to hypergraph bipartition, minimum degree, and maximum degree are described. As an application, the bounds of the edge cut and the edge connectivity of the hypergraph involving the smallest and the largest H-eigenvalues are presented.

Keyword:

bipartition bound edge cut H-eigenvalue hypergraph maximum degree Signless Laplacian tensor

Community:

  • [ 1 ] [Xie, Jinshan]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Peoples R China
  • [ 2 ] [Chang, An]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Peoples R China
  • [ 3 ] [Xie, Jinshan]Longyan Univ, Sch Math & Comp Sci, Longyan 364012, Peoples R China

Reprint 's Address:

  • 常安

    [Chang, An]Fuzhou Univ, Ctr Discrete Math, Fuzhou 350003, Peoples R China

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Source :

FRONTIERS OF MATHEMATICS IN CHINA

ISSN: 1673-3452

Year: 2013

Issue: 1

Volume: 8

Page: 107-127

0 . 4 5 2

JCR@2013

0 . 8 0 0

JCR@2023

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 25

SCOPUS Cited Count: 26

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

Online/Total:30/10042020
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