Two-dimensional regular d-meshes

Abstract An extended family of two-dimensional regular meshes of an arbitrary degree d with an isomorphic neighbourhood is introduced. The construction rules for d -meshes and the evaluation of optimal meshes are given. Average and maximal distances between nodes in d -meshes are calculated and compared with those for hypercubes and 3 D -tori. Global and local routing strategies are analysed and tested on the proposed meshes.