26 citations · 31 across the 13 of their papers we have counts for
4 papers · 1 filter
Every finite non-solvable group admits an Oriented Regular Representation
Joy Morris, Pablo Spiga
In this paper we give a partial answer to a 1980 question of Lazslo Babai: "Which [finite] groups admit an oriented graph as a DRR?" That is, which finite groups admit an oriented…
Most Rigid Representations and Cayley index
Joy Morris, Josh Tymburski
For any finite group , a natural question to ask is the order of the smallest possible automorphism group for a Cayley graph on . A particular Cayley graph whose automorphism…
A finite simple group is CCA if and only if it has no element of order four
Luke Morgan, Joy Morris, Gabriel Verret
A Cayley graph for a group is CCA if every automorphism of the graph that preserves the edge-orbits under the regular representation of is an element of the normaliser of $…
Digraphs with small automorphism groups that are Cayley on two nonisomorphic groups
Luke Morgan, Joy Morris, Gabriel Verret
Let be a Cayley digraph on a group and let . The Cayley index of is . It has previously been shown that, if is a prime,…