Order divisor graphs of finite groups
Combinatorics
2019-01-01 v3 Group Theory
Abstract
The interplay between groups and graphs have been the most famous and productive area of algebraic graph theory. In this paper, we introduce and study the graphs whose vertex set is group G such that two distinct vertices a and b having different orders are adjacent provided that o(a) divides o(b) or o(b) divides o(a).
Cite
@article{arxiv.1611.04280,
title = {Order divisor graphs of finite groups},
author = {Shafiq Ur Rehman and Abdul Qudair Baig and Muhammad Imran and Zia Ullah Khan},
journal= {arXiv preprint arXiv:1611.04280},
year = {2019}
}
Comments
10 pages, 5 figures