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arXiv · 2411.05386

On a family of divisible design digraphs

Mikhail Muzychuk·Grigory Ryabov
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Abstract

For every odd prime power $q$, a family of pairwise nonisomorphic normal arc-transitive divisible design Cayley digraphs with isomorphic neighborhood designs over a Heisenberg group of order $q^3$ is constructed. It is proved that these digraphs are not distinguished by the Weisfeiler-Leman algorithm and have the Weisfeiler-Leman dimension $3$.

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Mikhail Muzychuk, Grigory Ryabov. 2024-11-08. On a family of divisible design digraphs. https://arxiv.org/abs/2411.05386

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