شماره ركورد كنفرانس :
3806
عنوان مقاله :
A note on commuting graphs for general linear groups
عنوان به زبان ديگر :
A note on commuting graphs for general linear groups
پديدآورندگان :
Nasiri M nasirimaryam.63@gmail.com Mathematics,Shahrood University of Technology, , Jafari1 S.H shjafari55@gmail.com Mathematics,Shahrood University of Technology,
كليدواژه :
Commuting graph , Transvections , Clique , Planarity.
عنوان كنفرانس :
دهمين كنفرانس ملي نظريه گراف و تركيبات جبري
چكيده فارسي :
Let G be a group and X a subset of G. Then C(G;X) is a graph with vertex
set X in which distinct elements x, y 2 X are joined by an edge if xy = yx.
In this paper, we study the clique number, diameter, planarity and regularity
of C(G;X) where G = GL(n; q) and X is the set of transvections.
چكيده لاتين :
Let G be a group and X a subset of G. Then C(G;X) is a graph with vertex
set X in which distinct elements x, y 2 X are joined by an edge if xy = yx.
In this paper, we study the clique number, diameter, planarity and regularity
of C(G;X) where G = GL(n; q) and X is the set of transvections.
