Distance-regular graphs and (α, β)-geometries

We study the relation between distance-regular graphs and (α, β)-geometries in two different ways. We give necessary and sufficient conditions for the neighbourhood geometry of a distance-regular graph to be an (α, β)-geometry, and describe some (classes of) examples. On the other hand, properties of certain regular two-graphs allow us to construct (0, α)-geometries on the corresponding Taylor graphs.