In Borel unbalanced bipartite multigraphs there exists a Borel matching covering μ-almost every vertex in the higher-degree part for any Borel probability measure μ.
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Measurable matchings in unbalanced graphs
In Borel unbalanced bipartite multigraphs there exists a Borel matching covering μ-almost every vertex in the higher-degree part for any Borel probability measure μ.