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Discussiones Mathematicae Graph Theory
Article . 2013 . Peer-reviewed
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Discussiones Mathematicae Graph Theory
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Discussiones Mathematicae Graph Theory
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A note on the uniqueness of stable marriage matching

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae Graph Theory, volume 33, page 49 (issn: 1234-3099, eissn: 2083-5892, Copyright policy )
Authors: Ewa Drgas-Burchardt;

doi: 10.7151/dmgt.1667

A note on the uniqueness of stable marriage matching

Abstract

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.

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Keywords

gale-shapley model, stable matching, QA1-939, Mathematics, stable perfect matching

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Published in a Diamond OA journal