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The energy of a graph is defined as the sum of the absolute values of all eigenvalues of the graph. Let Τn denote the set of trees with n vertices. When n ≥ 6, for a given integer Δε[3,n-2], we characterize the tree in Τn with maximum degree Δ and maximal energy. Furthermore, for ⌈n+1/3⌉ ≤ Δ(T) ≤ n - 2 and n ≥ 1, the tree in Τn with maximum degree Δ and minimal energy is also determined.
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ISSN: 0340-6253
Year: 2005
Issue: 2
Volume: 54
Page: 363-378
0 . 8 2 8
JCR@2005
2 . 9 0 0
JCR@2023
ESI Discipline: CHEMISTRY;
JCR Journal Grade:2
Cited Count:
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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