Infinite Families of Optimal Double-Loop Networks

摘要

A double-loop network(DLN) G(N; r, s ) is a digraph with the vertex set V?=?{0, 1,..., N???1} and the edge set E = {v →v+?r (mod N) and v →v?+?s(mod N)|v?∈?V}. Let D(N; r, s) be the diameter of G, D(N) = min {D(N; r, s)|1?≤?r?