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arXiv · 2502.12503

Construction of divisible design graphs using affine designs

Vladislav V. Kabanov
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Abstract

A $k$-regular graph on $v$ vertices is a {\em divisible design graph} if there exist integers $λ_1,λ_2,m,n$ such that the vertex set can be partitioned into $m$ classes of size $n$ and any two different vertices from the same class have $λ_1$ common neighbours, and any two vertices from different classes have $λ_2$ common neighbours. In this paper, a new construction that produces divisible design graphs is provided.

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Vladislav V. Kabanov. 2026-07-28. Construction of divisible design graphs using affine designs. https://arxiv.org/abs/2502.12503

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