%0 Journal Article
%T A Kind of Non-commuting Graph of Finite Groups
%J Journal of Sciences, Islamic Republic of Iran
%I University of Tehran
%Z 1016-1104
%A Tolue, B.
%A Erfanian, A.
%A Jafarzadeh, A.
%D 2014
%\ 12/01/2014
%V 25
%N 4
%P 379-384
%! A Kind of Non-commuting Graph of Finite Groups
%K g-noncommuting graph
%K commutator
%K non-commuting graph
%K isoclinism
%R
%X Let g be a fixed element of a finite group G. We introduce the g-noncommuting graph of G whose vertex set is whole elements of the group G and two vertices x,y are adjacent whenever [x,y] g and [y,x] g. We denote this graph by . In this paper, we present some graph theoretical properties of g-noncommuting graph. Specially, we investigate about its planarity and regularity, its clique number and dominating number. We prove that if G, H are isoclinic groups with |Z (G)|=|Z (H)|, then their associated graphs are isomorphic.
%U https://jsciences.ut.ac.ir/article_52625_d10ebf26020ddfc9803c7628524add3d.pdf