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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.
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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:
SCOPUS Cited Count: 1
ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 0
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