8 citations · 16 across the 16 of their papers we have counts for
4 papers · 1 filter
Hilton-Milner Theorem for the -independent sets in a union of cliques
Karen Gunderson, Karen Meagher, Joy Morris +1
We give a Hilton-Milner Theorem for the -independent sets in the graph that is the union of copies of . That is, we determine the maximum intersecting families of -indep…
Perfect and multiple state transfer in oriented Cayley graphs
Ada Chan, Venkata Raghu Tej Pantangi, Andriaherimanana Sarobidy Razafimahatratra +1
We study perfect state transfer and multiple state transfer in oriented normal Cayley graphs. We construct examples in a variety of groups, ranging from abelian to nonsolvable, and…
A new measure of robustness of Erdős--Ko--Rado Theorems on permutation groups
Karen Gunderson, Karen Meagher, Joy Morris +2
In this paper we introduce a new way of measuring the robustness of Erdős--Ko--Rado (EKR) Theorems on permutation groups. EKR-type results can be viewed as results about the indepe…
Intersecting Families of Spanning Trees
Peter Frankl, Glenn Hurlbert, Ferdinand Ihringer +4
A family of spanning trees of the complete graph on vertices is \emph{-intersecting} if any two members have a forest on edges in common. We prove an…