PLANAR, TOROIDAL, AND PROJECTIVE COMMUTING AND NONCOMMUTING GRAPHS

被引：28

作者：

Afkhami, M. ^{[1
,3
]}

Farrokhi, M. D. G. ^{[2
]}

Khashyarmanesh, K. ^{[2
]}

机构：

[1] Univ Neyshabur, Dept Math, Neyshabur, Iran

[2] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Iran

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

来源：

COMMUNICATIONS IN ALGEBRA | 2015年 / 43卷 / 07期

关键词：

Commuting graph; Crosscap; Genus; Noncommuting graph; ELEMENTS;

D O I：

10.1080/00927872.2014.910796

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, all finite groups whose commuting (noncommuting) graphs can be embed on the plane, torus, or projective plane are classified.

引用

页码：2964 / 2970

页数：7

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