Optimal simulations between mesh-connected arrays of processors

Author:

Kosaraju S. Rao1,Atallah Mikhail J.2

Affiliation:

1. Johns Hopkins Univ., Baltimore, MD

2. Purdue Univ., West Lafayette, IN

Abstract

Let G and H be two mesh-connected arrays of processors, where G = g 1 , X g 2 X … X g 1 , H = h 1 x h 2 x … x h d , and g 1 g 1 h 1 h d . The problem of simulating G by H is considered and the best possible simulation in terms of the g i 's and h i 's is characterized by giving such a simulation and proving its optimality in the worst-case sense. Also the same bound on the average cost of encoding the edges of G as distinct paths in H is established.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

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