The number of edges in power graph of finite groups

被引：1

作者：

Jafari, S. H. ^{[1
]}

机构：

[1] Shahrood Univ Technol, Fac Math Sci, POB 3619995161-316, Shahrood, Iran

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 03期

关键词：

Power graph; solvable group; cyclic group;

D O I：

10.1142/S1793557121500376

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite groups. The power graph of G is a graph with vertex set G and two distinct element x, y are adjacent if one of them is power another. We give a short elementary proof for Gamma(Z(n)) has a maximum number edges in all groups of order n.

引用

页数：4

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