Solving tree problems on a Mesh-connected processor Array
Information and Control
Optimal simulations between mesh-connected arrays of processors
STOC '86 Proceedings of the eighteenth annual ACM symposium on Theory of computing
Graph Problems on a Mesh-Connected Processor Array
Journal of the ACM (JACM)
Sorting on a mesh-connected parallel computer
Communications of the ACM
Fast parallel processing array algorithms for some graph problems(Preliminary Version)
STOC '79 Proceedings of the eleventh annual ACM symposium on Theory of computing
Computational Aspects of VLSI
Embedding meshes on the star graph
Proceedings of the 1990 ACM/IEEE conference on Supercomputing
Embedding Complete Binary Trees Into Butterfly Networks
IEEE Transactions on Computers
Work-preserving emulations of fixed-connection networks
Journal of the ACM (JACM)
IEEE Transactions on Parallel and Distributed Systems
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An investigation is conducted of the relationship between a rectangular mesh and a square one. Asymptotically optimal algorithms are given for simulating one type by the other. The simulation results are useful since they permit designing algorithms on one network (e.g. the square mesh) in spite of the fact that the actual machine on which these algorithms will run is different (e.g. a rectangular mesh).