26 citations · 31 across the 13 of their papers we have counts for
7 papers · 1 filter
On Generalised Petersen Graphs of Girth 7 that have Cop Number 4
Harmony Morris, Joy Morris
We show that if with then the cop number of the generalised Petersen graph is , with some small previously-known exceptions. It was previous…
Most Generalized Petersen graphs of girth 8 have cop number 4
Joy Morris, Tigana Runte, Adrian Skelton
A generalized Petersen graph is a regular cubic graph on vertices (the parameter is used to define some of the edges). It was previously shown (Ball et al., 2015…
Groups for which it is easy to detect graphical regular representations
Dave Witte Morris, Joy Morris, Gabriel Verret
We say that a finite group G is "DRR-detecting" if, for every subset S of G, either the Cayley digraph Cay(G,S) is a digraphical regular representation (that is, its automorphism g…
Two new families of non-CCA groups
Brandon Fuller, Joy Morris
We determine two new infinite families of Cayley graphs that admit colour-preserving automorphisms that do not come from the group action. By definition, this means that these Cayl…
Two families of graphs that are Cayley on nonisomorphic groups
Joy Morris, Josip Smolcic
A number of authors have studied the question of when a graph can be represented as a Cayley graph on more than one nonisomorphic group. The work to date has focussed on a few spec…
On the asymptotic enumeration of Cayley graphs
Joy Morris, Mariapia Moscatiello, Pablo Spiga
In this paper we are interested in the asymptotic enumeration of Cayley graphs. It has previously been shown that almost every Cayley digraph has the smallest possible automorphism…