The (Δ,D) and (Δ,N) problems for New Amsterdam and Manhattan digraphs

Abstract

We give a quasi-complete solution of the (Δ,N) problem for two well-known families of digraphs used as good models for large interconnection networks. In our study we also relate both families, the New Amsterdam and Manhattan digraphs, with the double-step graphs (or circulant graphs with degree two).