Edge-maximality of power graphs of finite cyclic groups
Group Theory
2014-11-11 v3 Combinatorics
Abstract
We show that among all finite groups of any given order, the cyclic group of that order has the maximum number of edges in its power graph. Contains corrections to published version.
Cite
@article{arxiv.1311.2984,
title = {Edge-maximality of power graphs of finite cyclic groups},
author = {Brian Curtin and Gholam Reza Pourgholi},
journal= {arXiv preprint arXiv:1311.2984},
year = {2014}
}
Comments
second set of corrections to technical lemmas, no changes to main result