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A parallel algorithm for recognizing unordered depth-first search - MaRDI portal

A parallel algorithm for recognizing unordered depth-first search (Q1111396)

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scientific article; zbMATH DE number 4076651
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A parallel algorithm for recognizing unordered depth-first search
scientific article; zbMATH DE number 4076651

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    A parallel algorithm for recognizing unordered depth-first search (English)
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    1988
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    We present a parallel algorithm for the concurrent-read, exclusive-write PRAM model that determines in \(O(\log^ 2 V)\) time using M(V) processors whether a given directed spanning forest of a given graph corresponds to some unordered depth-first search, where \(M(V)=O(V^{2.376})\) is the number of processors needed to do transitive closure in \(O(\log^ 2 V)\) time. If the answer is ``yes'', the depth-first numbering of the vertices is also output. The algorithm can be modified to avoid concurrent reading at the expense of more processors.
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    parallel algorithm
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    concurrent-read, exclusive-write PRAM
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    depth-first search
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