A Minimax Theorem for Directed Graphs

Cláudio Leonardo Lucchesi, Daniel H. Younger · Journal of the London Mathematical Society · 1978

THEOREM. For a finite directed graph G, a minimum transversal of the directed cuts of G is equal in cardinality to a maximum disjoint collection of directed cuts. This minimax equality was conjectured about a decade ago by one of the authors ([7; page 43], [8], [9]) and, independently, by Neil Robertson. It arose in the study

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