Author

R. Bailey

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Preprint Aug 2026

Vertex-transitive strongly regular graphs in the switching class of doubly transitive two-graphs

Let $G$ be a permutation group that acts $2$-transitively on the finite set $V$ and let $\mathcal{T}=(V,T)$ be a two-graph whose automorphism group contains $G$. In this paper, we classify those strongly regular graphs $\Gamma$ with vertex set $V$ whose automorphism group is a transitive maximal subgroup of $G$ and who...

R. Bailey, G. Nagy, Valentino Smaldore · 0 citations

Preprint Jul 2026

Localization and metric dimension for families of highly structured digraphs

We investigate metric dimension and the localization game for several families of directed analogues of strongly regular graphs and their generalizations, adapting a probabilistic method of Babai (1980) for bounding the size of resolving sets in undirected strongly regular graphs. We derive upper bounds on the localiza...

R. Bailey, Brittany Pittman · 0 citations