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Extremal Unicyclic Graphs With Respect To Modified Schultz Index

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成果类型:
期刊论文
作者:
Chen, Shubo;Liu, Weijun*
通讯作者:
Liu, Weijun
作者机构:
[Chen, Shubo] Hunan City Univ, Dept Math & Comp Sci, Yiyang 413000, Hunan, Peoples R China.
[Liu, Weijun] Nantong Univ, Sch Sci, Nantong 226007, Jiangsu, Peoples R China.
通讯机构:
[Liu, Weijun] N
Nantong Univ, Sch Sci, Nantong 226007, Jiangsu, Peoples R China.
语种:
英文
期刊:
Utilitas Mathematica
ISSN:
0315-3681
年:
2011
卷:
86
页码:
87-94
基金类别:
NNSFCNational Natural Science Foundation of China (NSFC) [10871205]; Research Foundation of Education Bureau of Hunan Province, China [10B015]
机构署名:
本校为第一机构
院系归属:
理学院
摘要:
For a graph G = (V, E), the modified Schultz index of G is defined as S*(G)= Sigma({u, v} subset of V(G)) (d(G)(u) . d(G)(v))d(G)(u, v) where d(G)(u) (or d(u)) is the degree of the vertex u of G, and d(G)(u, v) is the distance between u and v. Let U(n) be the set of unicyclic graph with n vertices. In this paper, we study the modified Schultz index of U(n) by introducing some transformations. Unicyclic graphs with the maximum ...

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