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author:

Sun, L. (Sun, L..) [1] | Chen, R.S. (Chen, R.S..) [2]

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Abstract:

The second Zagreb index M2(G) of a (molecule) graph G is the sum of the weights d(u)d(v) of all edges uv in G, where d(u) denotes the degree of the vertex u. In this paper, we give a sharp upper bound on the second Zagreb index of conjugated trees (trees with a perfect matching) in terms of the number of vertices. A sharp upper bound on the second Zagreb index of trees with a given size of matching is also given.

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  • [ 1 ] [Sun, L.]Department of Mathematics and Informatics Sciences, Huazhong Agricultural University, Wuhan, 430070, China
  • [ 2 ] [Chen, R.S.]Center for Discrete Mathematics, Theoretical Computer Science Software College, Fuzhou University, Fuzhou, 350002, China

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ISSN: 0340-6253

Year: 2008

Issue: 1

Volume: 60

Page: 57-64

3 . 5

JCR@2008

2 . 9 0 0

JCR@2023

ESI Discipline: CHEMISTRY;

JCR Journal Grade:1

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: 0

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