OAI/Combinatorics/ContingencyTables/Transport/EdmondsKarpBound.lean

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The shortest-augmentation bound

Charge an augmentation to a critical directed arc and its previous tail label. A repeated directed arc has strictly larger label, so the charge is injective into n×n×n.

  1. theorem OAI.ContingencyTables.EdmondsKarpBound.shortest_trace_bound line 18
  2. theorem OAI.ContingencyTables.EdmondsKarpBound.edmondsKarp1972Theorem1 line 45

    Source documentation

    Edmonds and Karp (1972), Theorem 1, in the exact integral-skew-flow specialization for the sampling and counting algorithms.

    theorem edmondsKarp1972Theorem1 : EdmondsKarp1972Theorem1 := by
    …