Lower bounds for merging on the hypercube

作者: Christine Rüb

DOI: 10.1007/3-540-57811-0_18

关键词: HypercubeCombinatoricsSortingMathematics

摘要: We show lower bounds for the problems of merging two sorted lists equal length and sorting by repeatedly pairs sequences on hypercube. These hold average any ordering processors

参考文章(13)
Alok Aggarwal, Ming-Deh A. Huang, Network complexity of sorting and graph problems and simulating CRCW PRAMS by interconnection networks (preliminary version) AWOC '88 Proceedings of the 3rd Aegean Workshop on Computing: VLSI Algorithms and Architectures. pp. 339- 350 ,(1988) , 10.1007/BFB0040401
Florence Jessie MacWilliams, Neil James Alexander Sloane, The Theory of Error-Correcting Codes ,(1977)
C. Greg Plaxton, A hypercubic sorting network with nearly logarithmic depth symposium on the theory of computing. pp. 405- 416 ,(1992) , 10.1145/129712.129751
Richard Cole, Parallel merge sort SIAM Journal on Computing. ,vol. 17, pp. 770- 785 ,(1988) , 10.1137/0217049
Gianfranco Bilardi, Alexandru Nicolau, Adaptive Bitonic Sorting: An Optimal Parallel Algorithm for Shared Memory Machines SIAM Journal on Computing. ,vol. 18, pp. 216- 228 ,(1989) , 10.1137/0218014
Kruskal, Searching, Merging, and Sorting in Parallel Computation IEEE Transactions on Computers. ,vol. 32, pp. 942- 946 ,(1983) , 10.1109/TC.1983.1676138
Robert Cypher, Jorge L.C Sanz, Cubesort: A parallel algorithm for sorting N data items with S -sorters Journal of Algorithms. ,vol. 13, pp. 211- 234 ,(1992) , 10.1016/0196-6774(92)90016-6
Torben Hagerup, Christine Rüb, Optimal merging and sorting on the EREW PRAM Information Processing Letters. ,vol. 33, pp. 181- 185 ,(1989) , 10.1016/0020-0190(89)90138-5
R. Cypher, C. G. Plaxton, Deterministic sorting in nearly logarithmic time on the hypercube and related computers symposium on the theory of computing. ,vol. 47, pp. 193- 203 ,(1990) , 10.1145/100216.100240