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author:

Li, J. (Li, J..) [1] | Shiu, W.C. (Shiu, W.C..) [2]

Indexed by:

Scopus

Abstract:

In this paper, we first present the properties of the graph which maximize the spectral radius among all graphs with prescribed degree sequence. Using these results, we provide a somewhat simpler method to determine the unicyclic graph with maximum spectral radius among all unicyclic graphs with a given degree sequence. Moreover, we determine the bicyclic graph which has maximum spectral radius among all bicyclic graphs with a given degree sequence.

Keyword:

Bicyclic graph; Degree sequence; Pectral radius; Unicyclic graph

Community:

  • [ 1 ] [Li, J.]School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian, China
  • [ 2 ] [Li, J.]Center for Discrete Mathematics, Fuzhou University, Fuzhou, Fujian, China
  • [ 3 ] [Shiu, W.C.]Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong

Reprint 's Address:

  • 李建喜

    [Li, J.]School of Mathematics and Statistics, Minnan Normal UniversityChina

Email:

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Source :

Kyungpook Mathematical Journal

ISSN: 1225-6951

Year: 2014

Issue: 3

Volume: 54

Page: 425-441

0 . 6 0 0

JCR@2023

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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