3 papers
math.CO2026
On applications of the clique-adjacency polynomial to arbitrary finite graphs
Jake Rigg, John Bamberg
The clique adjacency polynomial (CAP), introduced by Soicher (2015), provides a powerful method for bounding the clique numbers of edge-regular graphs. In this paper, we extend the…
math.GR2025
New 2-closed groups that are not automorphism groups of digraphs
John Bamberg, Michael Giudici, Jacob Paul Smith
In this paper we extend the construction of Giudici, Morgan and Zhou [arXiv:2110.07896] to give the first known examples of nonregular, -closed permutation groups of rank greate…
math.GR2025
Low rank groups of Lie type acting point and line-primitively on finite generalised quadrangles
Vishnuram Arumugam, John Bamberg, Michael Giudici
Suppose we have a finite thick generalised quadrangle whose automorphism group acts primitively on both the set of points and the set of lines. Then must be almost simple.…