Array processor with multiple broadcasting
Journal of Parallel and Distributed Computing
Optimal bounds for decision problems on the CRCW PRAM
Journal of the ACM (JACM)
Introduction to parallel algorithms and architectures: array, trees, hypercubes
Introduction to parallel algorithms and architectures: array, trees, hypercubes
Journal of Parallel and Distributed Computing
Sorting on a mesh-connected parallel computer
Communications of the ACM
Mesh Connected Computers with Fixed and Reconfigurable Buses: Packet Routing, Sorting, and Selection
ESA '93 Proceedings of the First Annual European Symposium on Algorithms
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Efficient scalable algorithms are developed for a mesh with fixed buses. The problems considered are merging, sorting and selection. The size of the input is fixed at n, and the mesh size is varied from /spl radic/n/spl times//spl radic/n to n/spl times/n. The merging algorithm is optimal for all the mesh sizes, whereas the sorting and selection algorithms are within factors of i/(1-/spl epsiv/) and log/sup 4/3/ n respectively, of the optimal.