Matroids induced by graphs
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Abstract
Consider a bipartite graph G with bipartition X 1 ∪ X 2. Recall Hall’s theorem: G has a matching which covers every point of X 1 if and only if |N(X)| ≥ |X| holds for every X ⊆ X 1, where N(X) denotes the set of neighbours of X.
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© Springer-Verlag Berlin Heidelberg 1989