34 research outputs found

    Greedy Graph Colouring is a Misleading Heuristic

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    State of the art maximum clique algorithms use a greedy graph colouring as a bound. We show that greedy graph colouring can be misleading, which has implications for parallel branch and bound

    Multi-threading a state-of-the-art maximum clique algorithm

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    We present a threaded parallel adaptation of a state-of-the-art maximum clique algorithm for dense, computationally challenging graphs. We show that near-linear speedups are achievable in practice and that superlinear speedups are common. We include results for several previously unsolved benchmark problems

    Finding maximum k-cliques faster using lazy global domination

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