On the generalized Wiener polarity index for some classes of graphs

被引:1
|
作者
Bielak, Halina [1 ]
Dabrowska, Kinga [1 ]
Wolska, Katarzyna [1 ]
机构
[1] Marie Curie Sklodowska Univ, Pl Marii Curie Sklodowskiej 5, PL-20031 Lublin, Poland
关键词
TREES;
D O I
10.15439/2015F340
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The generalized Wiener polarity index W-k(G) of a graph G = (V, E) is defined as a number of unordered pairs {u,v}} of G such that the shortest distance between u and v is equal to k: Wk(G) = [{u, v}, d(u,v) = k, u, v is an element of V(G)}] In this paper we give some results for 2-trees in case of mentioned index. We present an infinite family of 2-trees with maximum value of generalized Wiener polarity index.
引用
收藏
页码:483 / 487
页数:5
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