The Shuffled Mesh: a flexible and efficient model for parallel computing

In this work an efficient model for parallel computing, called Shuffled Mesh (SM), is in-troduced. This bounded degree model has the mesh as subgraph and it is based on the union of mesh and shuffle-exchange topologies. It is shown that an N-processor SM combines the features of mesh, shuffle-exchange, hypercubic networks, mesh of trees and hypercube, being able to support all the algorithms designed for such topologies with constant or logarithmic time performance degradation. Finally it is proved that the VLSI layout of a SM is the same of a shuffle exchange of the same size