Fast parallel algorithms for finding Hamiltonian paths and cycles in a tournament
Journal of Algorithms
SIAM Journal on Computing
Sorting, minimal feedback sets, and Hamilton paths in tournaments
SIAM Journal on Discrete Mathematics
On Sorting an Intransitive Total Ordered Set Using Semi-Heap
IPDPS '00 Proceedings of the 14th International Symposium on Parallel and Distributed Processing
Sorting networks and their applications
AFIPS '68 (Spring) Proceedings of the April 30--May 2, 1968, spring joint computer conference
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We consider the problem of merging two intransitive sorted sequences, that is, to generate a sorted total order without the transitive property. A parallel merging algorithm is proposed under the EREW PRAM model. This algorithm has a run time of O(log2 n) using O(n/ log2 n) processors (i.e., this algorithm is costoptimal). Design an algorithm that is cost-optimal in the strong sense is still an open problem.