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Deterministic Parallel Backtrack Search (2000)  (Make Corrections)  
Kieran T. Herley, Andrea Pietracaprina, Geppino Pucci
Theoretical Computer Science



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Abstract: The backtrack search problem involves visiting all the nodes of an arbitrary binary tree given a pointer to its root, subject to the constraint that the children of a node are revealed only after their parent is visited. We present a fast, deterministic backtrack search algorithm for a p-processor COMMON CRCW-PRAM, which visits any n-node tree of height h in time O (n=p + h)(log log log p) 2  . This upper bound compares favourably with a natural n=p + h) lower bound for this problem. Our... (Update)

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BibTeX entry:   (Update)

@article{ herley02deterministic,
    author = "Kieran T. Herley and Andrea Pietracaprina and Geppino Pucci",
    title = "Deterministic parallel backtrack search",
    journal = "Theoretical Computer Science",
    volume = "270",
    number = "1--2",
    pages = "309--324",
    year = "2002",
    url = "citeseer.ist.psu.edu/article/herley00deterministic.html" }
Citations (may not include all citations):
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47   Part I: The basic technique with applications to optimal par.. (context) - Cole, Vishkin et al. - 1988
42   Randomized parallel algorithms for backtrack search and bran.. (context) - Karp, Zhang - 1993
37   An atomic model for message-passing - Liu, Aeillo et al. - 1993
32   Branch-and-bound and backtrack search on mesh-connected arra.. - Kaklamanis, Persiano - 1994
29   Communication complexity for parallel divideand -conquer - Wu, Kung - 1991
20   Optimal deterministic approximate parallel prex sums and the.. - Goldberg, Zwick - 1994
14   A simpler analysis of the Karp-Zhang parallel branch-andboun.. (context) - Ranade - 1990
14   Near-perfect token distribution (context) - Broder, Frieze et al. - 1992
12   Tight bounds for on-line tree embeddings - Bhatt, Greenberg et al. - 1991
4   hypercube embeddings and fault-tolerance (context) - Aiello, Leighton - 1991
3   Dynamic tree embeddings in butter ies and hypercubes (context) - Leighton, Newman et al. - 1992
2   Optimal speed-up for backtrack search on a butter y network (context) - Ranade - 1994

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