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Efficient Parallel Algorithms for Graphs of Bounded Tree-Width Export

Journal of Algorithms, Vol. 20, No. 1. (January 1996), pp. 20-44.

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tree_decomposition

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We present an efficient parallel algorithm for the tree-decomposition problem for fixed widthw. The algorithm runs in time (log3 n) and uses (n) processors on an ARBITRARY CRCW PRAM. The sequential complexity of our tree-decomposition algorithm is (n log2 n). The tree-decomposition algorithm enables us to construct efficient parallel algorithms for a broad class of problems, when restricted to graphs of tree-width at mostw. Many of these problems areNP-complete for general graphs.


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