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arXiv · 2607.05043

Divisible design graphs obtained by plugging a difference set into a construction for antipodal distance-regular graphs of diameter 3

Bart De Bruyn·Sergey Goryainov·Ruilin Ma·Ruihan Xie
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Abstract

In this paper, we present a new construction of divisible design graphs with new parameters, obtained by plugging a difference set of a quotient group into a known construction of antipodal distance-regular graphs of diameter 3. Also, we show that in characteristic 2 the new divisible design graphs are Cayley graphs over an elementary abelian 2-group.

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Bart De Bruyn, Sergey Goryainov, Ruilin Ma, Ruihan Xie. 2026-07-06. Divisible design graphs obtained by plugging a difference set into a construction for antipodal distance-regular graphs of diameter 3. https://arxiv.org/abs/2607.05043

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