1 citations · 1 across the 8 of their papers we have counts for
5 papers · 1 filter
Resolution of a conjecture about linking ring structures
Marston Conder, Luke Morgan, Primož Potočnik
An LR-structure is a tetravalent vertex-transitive graph together with a special type of a decomposition of its edge-set into cycles. LR-structures were introduced in a paper by P.…
A new infinite family of star normal quotient graphs of twisted wreath type
Eda Kaja, Luke Morgan
We construct the first infinite families of locally arc transitive graphs with the property that the automorphism group has two orbits on vertices and is quasiprimitive on exactly…
The NNN-Property of Cyclic Groups
Michael Giudici, Luke Morgan, Yian Xu
A Cayley graph is said to be an NNN-graph if it is both normal and non-normal for isomorphic regular groups, and a group has the NNN-property if there exists an NNN-graph for it. I…
Arc-transitive digraphs of given out-valency and with blocks of given size
Luke Morgan, Primoz Potocnik, Gabriel Verret
Given integers and , we construct a -arc-transitive graph of valency and an -arc-transitive oriented digraph of out-valency such that and both admit bl…
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,…