by Γ _g, G. 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...

Let G be a finite non-abelian group and g a fixed element of G. In 2014, Tolue et al. introduced the g-noncommuting graph of G, which was denoted by Γg G with vertex set G and two distinct vertices x and y join by an edge if [x, y] 6= g and g −1...

Let G be a finite non-abelian group and g be a fixed element of G. In 2014, Tolue et al. introduced the g-noncommuting graph of G (denoted by $\\Gamma_G^g$) with vertex set G and two distinct vertices x and y join by an edge if $[x,y]\\neq g$ and $g...

Let (Formula presented.) be a finite non-abelian group and (Formula presented.) be its center. For a fixed nonidentity element (Formula presented.) of (Formula presented.), the (Formula presented.)-noncommuting graph of ...

] = g and g 1. This graph, first introduced by Tolue

et al. in 2013 and it was called g-noncommuting graph. In this talk,

we will give some graph theoretical properties of induced subgraph of

g

G onGnZ(G) whenGis symmetric...