The 6th Algebraic Combinatorics conference of Iran , 2013-10-30

Title : ( Some different views of generalization of non-commuting graph of a fnite groups )

Authors: Ahmad Erfanian ,

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Let G be a nite group. Then a simple graph associated to group G denoted by G is called the non-commuting graph of G whose vertex set V ( G) is G n Z(G) and the edge set E( G) is the set of all fx; yg, where x and y are distinct elements in G n Z(G) such that [x; y] = x 1y 1xy = 1. In this talk, we introduce some di erent graphs which are generalizations of non-commuting graph of G. They obtain by di erent views and ideas of generalization, for instance by associating to a subgroup H of G or assuming n th power of elements of G or corresponding to an automorphism and so on. We will introduce ve types of such graphs which are all a generalization of non-commuting graph of G. We present the general information and basic properties about these graphs which are mostly new or a generalization of some properties on non-commuting graph G given by Abdollahi et al. in 2006.

Keywords

, relative non-commuting graph, relative isoclinism, n-th non commuting graph, relative n-th non commuting
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@inproceedings{paperid:1040458,
author = {Erfanian, Ahmad},
title = {Some different views of generalization of non-commuting graph of a fnite groups},
booktitle = {The 6th Algebraic Combinatorics conference of Iran},
year = {2013},
location = {بابلسر, IRAN},
keywords = {relative non-commuting graph; relative isoclinism; n-th non commuting graph; relative n-th non commuting graph},
}

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%0 Conference Proceedings
%T Some different views of generalization of non-commuting graph of a fnite groups
%A Erfanian, Ahmad
%J The 6th Algebraic Combinatorics conference of Iran
%D 2013

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