26 citations · 87 across the 35 of their papers we have counts for
45 papers
Eternal domination in Cayley graphs
MacKenzie Carr, Nancy E. Clarke, Gary MacGillivray +1
Eternal domination is a process in which a set of guards occupying a dominating set on a graph protects against an infinite sequence of attacks. After a vertex is attacked, one gua…
is not a CI-group
Joy Morris
A Cayley graph Cay has the CI (Cayley Isomorphism) property if for every isomorphic graph Cay, there is a group automorphism of such that . The DCI (Di…
Non-Cayley-Isomorphic Cayley graphs from non-Cayley-Isomorphic Cayley digraphs
Dave Witte Morris, Joy Morris
A finite group is a "non-DCI group" if there exist subsets and of , such that the associated Cayley digraphs and $C\overrightarrow{…
Induced forests in some distance-regular graphs
Karen Gunderson, Karen Meagher, Joy Morris +1
In this article, we study the order and structure of the largest induced forests in some families of graphs. First we prove a variation of the ratio bound that gives an upper bound…
Cayley graphs on non-isomorphic groups
Joy Morris, Adrian Skelton
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. In this paper we give conditions for when a…
On the base size of the symmetric and the alternating group acting on partitions
Joy Morris, Pablo Spiga
Given three positive integers with , we determine the base size of the symmetric group and of the alternating group of degree in their action on the set of partit…