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Extremal Degree Distance Of Bicyclic Graphs

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成果类型:
期刊论文
作者:
Chen, Shubo*;Liu, Weijun;Xia, Fangli
通讯作者:
Chen, Shubo
作者机构:
[Xia, Fangli; Chen, Shubo] Hunan City Univ, Dept Math, Yiyang 413000, Hunan, Peoples R China.
[Liu, Weijun; Chen, Shubo] Cent S Univ, Coll Math, Changsha 410075, Hunan, Peoples R China.
通讯机构:
[Chen, Shubo] H
Hunan City Univ, Dept Math, Yiyang 413000, Hunan, Peoples R China.
语种:
英文
关键词:
degree distance;distance;bicyclic graphs;extremal values
期刊:
Utilitas Mathematica
ISSN:
0315-3681
年:
2013
卷:
90
页码:
149-169
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [10871205]
机构署名:
本校为第一且通讯机构
院系归属:
理学院
摘要:
For a graph G = (V, E), the degree distance of G is defined as DD(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 in G, and d(G)(u, v) is the distance between u and v. Let B(n) be the set of bicyclic graph with n vertices. In this paper, we study the degree distance of B(n) by introducing grafting transformations, the lower bounds for DD(G) are determined. The corres...

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