40 citations · 259 across the 61 of their papers we have counts for
4 papers · 1 filter
Finite primitive permutation groups and regular cycles of their elements
Michael Giudici, Cheryl E. Praeger, Pablo Spiga
We conjecture that if is a finite primitive group and if is an element of , then either the element has a cycle of length equal to its order, or for some and $…
Locally s-distance transitive graphs and pairwise transitive designs
Alice Devillers, Michael Giudici, Cai Heng Li +1
The study of locally s-distance transitive graphs initiated by the authors in previous work, identified that graphs with a star quotient are of particular interest. This paper show…
Semiregular automorphisms of edge-transitive graphs
Michael Giudici, Primoz Potocnik, Gabriel Verret
The polycirculant conjecture asserts that every vertex-transitive digraph has a semiregular automorphism, that is, a nontrivial automorphism whose cycles all have the same length.…
Characterising star-transitive and st(edge)-transitive graphs
Michael Giudici, Cai Heng Li, Akos Seress +1
Recent work of Lazarovich provides necessary and sufficient conditions on a graph L for there to exist a unique simply-connected (k,L)-complex. The two conditions are symmetry prop…