Space-efficient parallel algorithms for combinatorial search problems

Andrea Pietrcaprina, Geppino Pucci, Francesco Silvestri, Fabio Vandin

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Abstrakt

We present space-efficient parallel strategies for two fundamental combinatorial search problems, namely, backtrack search and branch-and-bound , both involving the visit of an n-node tree of height h under the assumption that a node can be accessed only through its father or its children. For both problems we propose efficient algorithms that run on a p-processor distributed-memory machine. For backtrack search, we give a deterministic algorithm running in O(n/p+hlogp) time, and a Las Vegas algorithm requiring optimal O(n/p+h) time, with high probability. Building on the backtrack search algorithm, we also derive a Las Vegas algorithm for branch-and-bound which runs in O((n/p+hlogplogn)hlog2n) time, with high probability. A remarkable feature of our algorithms is the use of only constant space per processor, which constitutes a significant improvement upon previous algorithms whose space requirements per processor depend on the (possibly huge) tree to be explored.
OriginalsprogEngelsk
TidsskriftJournal of Parallel and Distributed Computing
Vol/bind76
Udgave nummerFebruary
Sider (fra-til)58-65
ISSN0743-7315
DOI
StatusUdgivet - feb. 2015
Udgivet eksterntJa

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