Construction of divisible design graphs using affine designs

Abstract

A k-regular graph on v vertices is a divisible design graph if there exist integers λ1,λ2,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 λ1 common neighbours, and any two vertices from different classes have λ2 common neighbours. In this paper, a new construction that produces divisible design graphs is provided.

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