B. Curtin

activity

20132026

most citedEdge-maximality of power graphs of finite cyclic groups

40 citations · 43 across the 6 of their papers we have counts for

collaborators

Showing 2013Show all

2 papers · 1 filter

math.GR2013★ 40 cited

Edge-maximality of power graphs of finite cyclic groups

Brian Curtin, Gholam Reza Pourgholi

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 versio…

math.GR2013★ 3 cited

A group sum inequality and its application to power graphs

Brian Curtin, Gholam Reza Pourgholi

Let $G$ be a finite group of order $n$ , and let $C_{n}$ be the cyclic group of order $n$ . We show that $\sum_{g \in C_{n}} ϕ (o (g)) \geq \sum_{g \in G} ϕ (o (g))$ , with e…