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Wir betrachten einen bipartiten Graphen, mit Partition A⊎B. Wenn für alle nichtleeren X⊆A gilt, dass |X|<|N(X)|, dann (haben alle Knoten von A Grad mindestens 2; gibt es ein Matching, das alle Knoten von A überdeckt; ist |B|>|A|; gibt es ein perfektes Matching)
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