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Fast algorithms for finding Hamiltonian paths and cycles in in-tournament digraphs - MaRDI portal

Fast algorithms for finding Hamiltonian paths and cycles in in-tournament digraphs (Q1208466)

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scientific article; zbMATH DE number 166465
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English
Fast algorithms for finding Hamiltonian paths and cycles in in-tournament digraphs
scientific article; zbMATH DE number 166465

    Statements

    Fast algorithms for finding Hamiltonian paths and cycles in in-tournament digraphs (English)
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    16 May 1993
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    A tournament is an oriented digraph in which every pair of vertices is joined by an arc. An in-tournament digraph is a digraph in which the set of in-neighbours of each vertex induces a tournament. This note gives an \(O(m+n\log n)\) algorithm for finding a longest path and cycle in an in- tournament digraph, where \(m\) and \(n\) are the numbers of arcs respectively vertices of the in-tournament digraph.
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    tournament
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    in-tournament digraph
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    algorithm
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    path
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    cycle
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