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author:

Liu, Jianping (Liu, Jianping.) [1] (Scholars:刘剑萍) | Liu, Bolian (Liu, Bolian.) [2]

Indexed by:

EI Scopus SCIE

Abstract:

The energy E (G) of a graph G is the sum of the absolute values of the eigenvalues of G. An n-vertex graph G is said to be hypoenergetic if E(G) < n. In Gutman et al. (2008) [14] the authors conjectured that there exist n-vertex hypoenergetic trees with maximum degree Delta = 4 for any n 2 mod 4, n > 2. In this paper we confirm this conjecture. (C) 2009 Elsevier Ltd. All rights reserved.

Keyword:

Conjecture Energy Hypoenergetic tree

Community:

  • [ 1 ] [Liu, Jianping]S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
  • [ 2 ] [Liu, Bolian]S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
  • [ 3 ] [Liu, Jianping]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350002, Fujian, Peoples R China

Reprint 's Address:

  • [Liu, Bolian]S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

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Source :

APPLIED MATHEMATICS LETTERS

ISSN: 0893-9659

Year: 2010

Issue: 4

Volume: 23

Page: 484-486

1 . 1 5 5

JCR@2010

2 . 9 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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