Optimal speedup for backtrack search on a butterfly network
SPAA '91 Proceedings of the third annual ACM symposium on Parallel algorithms and architectures
An atomic model for message-passing
SPAA '93 Proceedings of the fifth annual ACM symposium on Parallel algorithms and architectures
Randomized parallel algorithms for backtrack search and branch-and-bound computation
Journal of the ACM (JACM)
A coding theorem for distributed computation
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
Deterministic parallel backtrack search
Theoretical Computer Science
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Karp and Zhang presented a general method for deriving randomized parallel branch-and-boxed algorithms from sequential ones. They showed that with high probability the resulting algorithms attained optimal speedup to within a constant: factor, for large enough problems. We present an alternate analysis of their method. Our analysis is considerably simpler, and gives good bounds even for small problem sizes.