A Note on the Uniqueness of Stable Marriage Matching
Discussiones Mathematicae Graph Theory, Tome 33 (2013) no. 1, p. 49.

Voir la notice de l'article dans European Digital Mathematics Library

In this note we present some sufficient conditions for the uniqueness of a stable matching in the Gale-Shapley marriage classical model of even size. We also state the result on the existence of exactly two stable matchings in the marriage problem of odd size with the same conditions.
Classification : 05C70, 05C90
Mots-clés : stable matching, Gale-Shapley model, stable perfect matching
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Ewa Drgas-Burchardt. A Note on the Uniqueness of Stable Marriage Matching. Discussiones Mathematicae Graph Theory, Tome 33 (2013) no. 1, p. 49. https://geodesic-test.mathdoc.fr/item/DMGT_2013__33_1_267608/