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author:

Xie, J. (Xie, J..) [1] | Chang, A. (Chang, A..) [2]

Indexed by:

Scopus

Abstract:

The adjacency matrices for graphs are generalized to the adjacency tensors for uniform hypergraphs, and some fundamental properties for the adjacency tensor and its Z-eigenvalues of a uniform hypergraph are obtained. In particular, some bounds on the smallest and the largest Z-eigenvalues of the adjacency tensors for uniform hypergraphs are presented. © 2013 Elsevier Inc.

Keyword:

Adjacency tensor; Bound; Hypergraph; Maximum degree; Z-eigenvalue

Community:

  • [ 1 ] [Xie, J.]School of Mathematics and Computer Science, Longyan University, Longyan, 364012, China
  • [ 2 ] [Xie, J.]Center for Discrete Mathematics, Fuzhou University, Fuzhou, Fujian, 350003, China
  • [ 3 ] [Chang, A.]Center for Discrete Mathematics, Fuzhou University, Fuzhou, Fujian, 350003, China

Reprint 's Address:

  • [Chang, A.]Center for Discrete Mathematics, Fuzhou University, Fuzhou, Fujian, 350003, China

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Source :

Linear Algebra and Its Applications

ISSN: 0024-3795

Year: 2013

Issue: 8

Volume: 439

Page: 2195-2204

0 . 9 8 3

JCR@2013

1 . 0 0 0

JCR@2023

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 29

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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