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author:

Li, J. (Li, J..) [1] | Shiu, W.C. (Shiu, W.C..) [2] | Chan, W.H. (Chan, W.H..) [3] | Chang, A. (Chang, A..) [4]

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Abstract:

In this paper, we study the spectral radius of graphs of order n with κ(G) ≤ k. We show that among those graphs, the maximal spectral radius is obtained uniquely at Knk, which is the graph obtained by joining k edges from k vertices of K n-1 to an isolated vertex. We also show that the spectral radius of Knk will be very close to n - 2 for a fixed k and a sufficiently large n. © 2008 Springer Science+Business Media, LLC.

Keyword:

Connectivity; Edge-connectivity; Energy levels; Spectral radius

Community:

  • [ 1 ] [Li, J.]Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
  • [ 2 ] [Shiu, W.C.]Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
  • [ 3 ] [Chan, W.H.]Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
  • [ 4 ] [Chang, A.]Software College/Center of Discrete Mathematics, Fuzhou University, Fuzhou, Fujian 350002, China

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Source :

Journal of Mathematical Chemistry

ISSN: 0259-9791

Year: 2009

Issue: 2

Volume: 46

Page: 340-346

1 . 3 8 1

JCR@2009

1 . 7 0 0

JCR@2023

JCR Journal Grade:2

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 11

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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