Divisible design graphs obtained by plugging a difference set into a construction for antipodal distance-regular graphs of diameter 3
arXiv:2607.05043
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.