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arXiv · 2301.04029

On the set of stable matchings of a bipartite graph

Alexander V. Karzanov
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Abstract

The topic of stable matchings (marriages) in a bipartite graph has become widely popular, starting with the appearance of the classical work by Gale and Shapley. We give a detailed survey on selected known results in this field that demonstrate structural, polyhedral and algorithmic properties of such matchings and their sets, providing our description with relatively short proofs.

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Alexander V. Karzanov. 2023-01-10. On the set of stable matchings of a bipartite graph. https://arxiv.org/abs/2301.04029

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