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The stable marriage problem

Published:01 July 1971Publication History
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Abstract

The original work of Gale and Shapley on an assignment method using the stable marriage criterion has been extended to find all the stable marriage assignments. The algorithm derived for finding all the stable marriage assignments is proved to satisfy all the conditions of the problem. Algorithm 411 applies to this paper.

References

  1. 1 Gale, D., and Shapley, L.S. College admissions and the stability of marriage. Am. Math. Monthly 69 (1962), 9-15.Google ScholarGoogle ScholarCross RefCross Ref
  2. 2 McVitie, D.G., and Wilson, L.B. Algorithm 411, Pts. 1-3. Three procedures for the stable marriage problem. Comm. ACM 14, 7 (July 1971), 491-492. Google ScholarGoogle ScholarDigital LibraryDigital Library

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  • Published in

    cover image Communications of the ACM
    Communications of the ACM  Volume 14, Issue 7
    July 1971
    58 pages
    ISSN:0001-0782
    EISSN:1557-7317
    DOI:10.1145/362619
    Issue’s Table of Contents

    Copyright © 1971 ACM

    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    • Published: 1 July 1971

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