Conditions on the edges and vertices of non-commuting graph
Let G be a non- abelian finite group. The non-commuting graph of GG is defined as a graph with a vertex set G-Z(G)in which two vertices x and y are joined if and only if xy ? yx. We define GG=(V(GG), E(GG)) such that V(GG) is the vertices set and E(GG) is the edges set. In this paper, we invest some...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Penerbit UTM Press
2015
|
| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/58143/1/NHSarmin2013_ConditionsontheEdgesandVertices.pdf http://eprints.utm.my/id/eprint/58143/ http://dx.doi.org/10.11113/jt.v74.1964 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universiti Teknologi Malaysia |
| Language: | English |
| Summary: | Let G be a non- abelian finite group. The non-commuting graph of GG is defined as a graph with a vertex set G-Z(G)in which two vertices x and y are joined if and only if xy ? yx. We define GG=(V(GG), E(GG)) such that V(GG) is the vertices set and E(GG) is the edges set. In this paper, we invest some results on |E(GG)|, the degree of avertex of non-commuting graph and the number of conjugacy classes of a finite group. We found that that if GG ? GH is afinite group, then |G| = |H|. |
|---|