Karen Meagher

activity

20232026

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math.CO2025

On the second largest eigenvalue of certain graphs in the perfect matching association scheme

Himanshu Gupta, Allen Herman, Alice Lacaze-Masmonteil +2

The perfect matching association scheme is a set of relations on the perfect matchings of the complete graph on $2 n$ vertices. The relations between perfect matchings are defined b…

math.CO2025

The intersection density of cubic arc-transitive graphs with $2$ -arc-regular full automorphism group equal to $PGL_{2} (q)$

Karen Meagher, Andriaherimanana Sarobidy Razafimahatratra

The \emph{intersection density} of a transitive permutation group $G \leq Sym (Ω)$ is the ratio between the largest size of a subset of $G$ in which any two agree on a…

On the second largest eigenvalue of certain graphs in the perfect matching association scheme

The intersection density of cubic arc-transitive graphs with 2-arc-regular full automorphism group equal to PGL2​(q)

The intersection density of cubic arc-transitive graphs with $2$ -arc-regular full automorphism group equal to $PGL_{2} (q)$