Power graph of finite abelian groups

被引：0

作者：

Chelvam, T. Tamizh ^{[1
]}

Sattanathan, M. ^{[1
]}

机构：

[1] Manonmaniam Sundaranar Univ, Dept Math, Tirunelveli 627012, Tamil Nadu, India

来源：

ALGEBRA & DISCRETE MATHEMATICS | 2013年 / 16卷 / 01期

关键词：

power graph; planar graph; Eulerian graph; finite group;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G he a group. The power graph Gamma(P)(G) of G is a graph with vertex set V(Gamma(P)(G)) = G and two distinct vertices x and y are adjacent, in Gamma P(G) if and only if either x(i) = y or y(j) = x, where 2 <= i,j <= n. In this paper, we obtain some fundamental characterizations of the power graph. Also, we characterize certain classes of power graphs of finite abelian groups.

引用

页码：33 / 41

页数：9

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