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[期刊论文]

On the largest eigenvalue of a tree with perfect matchings

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author:

Chang, A (Chang, A.) [1] (Scholars:常安)

Indexed by:

EI Scopus SCIE

Abstract:

The set of trees with n vertices and the set of trees with perfect matchings are denoted by F-n and T-2k, respectively. M. Hofmeister determined the first five maximum value of the largest eigenvalue of trees in F-n and gave the corresponding trees (Linear Algebra Appl. 260 (1997) 43-59). Focusing on the largest eigenvalue of trees in T-2k, this paper will give the first seven maximum value of that of trees in T-2k and their corresponding trees. In other words, an order of trees in T-2k by their largest eigenvalues is extended to the seventh position. (C) 2002 Elsevier B.V. All rights reserved.

Keyword:

characteristic polynomial eigenvalue perfect matching tree upper bound

Community:

  • [ 1 ] Fuzhou Univ, Dept Math, Fujian 350002, Peoples R China

Reprint 's Address:

  • 常安

    [Chang, A]Fuzhou Univ, Dept Math, Fujian 350002, Peoples R China

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Related Article:

Source :

DISCRETE MATHEMATICS

ISSN: 0012-365X

Year: 2003

Issue: 1-3

Volume: 269

Page: 45-63

0 . 3 0 3

JCR@2003

0 . 7 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:3

Cited Count:

WoS CC Cited Count: 15

SCOPUS Cited Count: 19

30 Days PV: 3

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