SPECTRAL PROPERTIES OF NC-GRAPHS

被引：0

作者：

Ghorbani, M. ^{[1
]}

Gharavi-Alkhansari, Z. ^{[1
]}

机构：

[1] Shahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran 16785136, Iran

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2019年 / 43卷 / 04期

关键词：

Non-commuting graph; centralizer; p-groups; COMMUTING GRAPH; NUMBER;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a non-abelian group and Z (G) be the center of G. The non-commuting graph (NC-graph) Gamma(G) of the group G is a graph with the vertex set G \ Z (G) and two distinct vertices x and y are adjacent whenever xy not equal yx. The aim of this paper is to prove that for given group G, G/Z(G) congruent to Z(p) x Z(p) if and only if Z (G) Gamma(G) is a regular (p - 1)-partite graph. Also we consider the isomorphism of the non-commuting graph with some special graphs.

引用

页码：523 / 534

页数：12

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