Extremal Graphs under Wiener-type Invariants

被引：0

作者：

Hamzeh, A. ^{[1
]}

Hossein-Zadeh, S. ^{[1
]}

Ashrafi, A. R. ^{[1
,2
]}

机构：

[1] Univ Kashan, Fac Sci, Dept Math, Kashan 8731751167, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY | 2013年 / 69卷 / 01期

关键词：

INDEX;

D O I：

暂无

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

Let d(G, k) be the number of pairs of vertices of a graph G that are at distance k, lambda a real number, and W-lambda(G) = Sigma(k >= 1) d(G,k)k(lambda). W-lambda(G) is called the Wiener-type invariant of G associated to real number lambda. In this paper, the Wiener-type invariant of the Cartesian product of graphs is computed. As an application the Tratch-Stankevich-Zefirov of C-4 nanotubes and nanotori are computed. We also find some new bound for this graph invariant.

引用

页码：47 / 54

页数：8

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