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author:

Liu, Qinghai (Liu, Qinghai.) [1] | Hong, Yanmei (Hong, Yanmei.) [2] | Gu, Xiaofeng (Gu, Xiaofeng.) [3] | Lai, Hong-Jian (Lai, Hong-Jian.) [4]

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Abstract:

Let τ(G), λ2(G), μn-1(G) and ρ2(G) be the maximum number of edge-disjoint spanning trees, the second largest adjacency eigenvalue, the algebraic connectivity, and the second largest signless Laplace eigenvalue of G, respectively. In this note, we prove that for any graph G with minimum degree δ≥2k, if λ2(G)1(G)>2k- 1δ+1 or ρ2(G)

Keyword:

Eigenvalues and eigenfunctions Linear algebra Mathematical techniques

Community:

  • [ 1 ] [Liu, Qinghai]Center for Discrete Mathematics, Fuzhou University, Fuzhou, Fujian, 350002, China
  • [ 2 ] [Hong, Yanmei]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350108, China
  • [ 3 ] [Gu, Xiaofeng]Department of Mathematics and Computer Science, University of Wisconsin-Superior, Superior, WI 54880, United States
  • [ 4 ] [Lai, Hong-Jian]Department of Mathematics, West Virginia University, Morgantown, WV 26506, United States

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Source :

Linear Algebra and Its Applications

ISSN: 0024-3795

Year: 2014

Volume: 458

Page: 128-133

0 . 9 3 9

JCR@2014

1 . 0 0 0

JCR@2023

ESI HC Threshold:86

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 26

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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