Algorithms for optimal self-simulation of some restricted reconfigurable meshes

There has recently been an interest in the introduction of recon gurable buses to existing parallel architectures. Among them the Recon gurable Mesh (RM) draws much attention because of its simplicity. However the wide acceptance of RM depends on its scalability through self-simulation. This paper presents a simple self-simulation algorithm which can self-simulate the monotonic RM model optimally and the piecewise-monotonic RM model asymptotically optimally. We claim here that our algorithm preserves the essence of con gurational computation and uses less broadcasts than simulation by the contraction and linear-connected component computation methods [1].