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Karp's patching algorithm on dense digraph

math.CO · 2025-05-27 · conditional · novelty 7.0

For dense digraphs with minimum degree above n/2 and independent edge costs, a small modification of Karp's patching algorithm produces an ATSP tour whose cost is (1+o(1)) times the optimal assignment cost, with high probability.

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  • Karp's patching algorithm on dense digraph math.CO · 2025-05-27 · conditional · none · ref 6

    For dense digraphs with minimum degree above n/2 and independent edge costs, a small modification of Karp's patching algorithm produces an ATSP tour whose cost is (1+o(1)) times the optimal assignment cost, with high probability.