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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 8, Pages 1395–1412
DOI: https://doi.org/10.31857/S0044466923080082 (Mi zvmmf11609) 		 
Computer science

On the set of stable matchings in a bipartite graph

A. V. Karzanov

Central Institute of Economics and Mathematics, Russian Academy of Sciences, 117418, Moscow, Russia
Full-text PDF
DOI: https://doi.org/10.31857/S0044466923080082
Abstract: The topic of stable matchings (marriages) in bipartite graphs gained popularity beginning from the appearance of the classical Gale and Shapley work. In this paper, a detailed review of selected and other related statements in this field that describe structured, polyhedral, and algorithmic properties of such objects and their sets accompanied by short proofs is given.
Key words: stable matching, poset of rotations, stable matching of minimum cost, median stable matching.
Received: 16.02.2023
Revised: 16.02.2023
Accepted: 28.04.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 8, Pages 1540–1556
DOI: https://doi.org/10.1134/S0965542523080080
Bibliographic databases:
Document Type: Article
UDC: 519.86
Language: Russian
Citation: A. V. Karzanov, “On the set of stable matchings in a bipartite graph”, Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023), 1395–1412; Comput. Math. Math. Phys., 63:8 (2023), 1540–1556
Citation in format AMSBIB
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\by A.~V.~Karzanov
\paper On the set of stable matchings in a bipartite graph
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 8
\pages 1395--1412
\mathnet{http://mi.mathnet.ru/zvmmf11609}
\crossref{https://doi.org/10.31857/S0044466923080082}
\elib{https://elibrary.ru/item.asp?id=54270667}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 8
\pages 1540--1556
\crossref{https://doi.org/10.1134/S0965542523080080}
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