OAI/Combinatorics/ContingencyTables/Transport/EdmondsKarpBound.lean
2 declarations, 0 contain sorry, 0 declared as axioms
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.
- theorem
OAI.ContingencyTables.EdmondsKarpBound.shortest_trace_boundline 18 - theorem
OAI.ContingencyTables.EdmondsKarpBound.edmondsKarp1972Theorem1line 45Source documentation
Edmonds and Karp (1972), Theorem 1, in the exact integral-skew-flow specialization for the sampling and counting algorithms.
theorem edmondsKarp1972Theorem1 : EdmondsKarp1972Theorem1 := by …