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Date:
15 Mar 2002
The Hospitals/Residents Problem with Ties
 Robert W. Irving,
 David F. Manlove,
 Sandy Scott
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Abstract
The hospitals/residents problem is an extensivelystudied manyone stable matching problem. Here, we consider the hospitals/ residents problem where ties are allowed in the preference lists. In this extended setting, a number of natural definitions for a stable matching arise. We present the first lineartime algorithm for the problem under the strongest of these criteria, socalled superstability. Our new results have applications to largescale matching schemes, such as the National Resident Matching Program in the US, and similar schemes elsewhere.
Supported by Engineering and Physical Sciences Research Council grant number GR/M13329.
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 Title
 The Hospitals/Residents Problem with Ties
 Book Title
 Algorithm Theory  SWAT 2000
 Book Subtitle
 7th Scandinavian Workshop on Algorithm Theory Bergen, Norway, July 5–7, 2000 Proceedings
 Pages
 pp 259271
 Copyright
 2000
 DOI
 10.1007/354044985X_24
 Print ISBN
 9783540676904
 Online ISBN
 9783540449850
 Series Title
 Lecture Notes in Computer Science
 Series Volume
 1851
 Series ISSN
 03029743
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag Berlin Heidelberg
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 Authors

 Robert W. Irving ^{(4)}
 David F. Manlove ^{(4)}
 Sandy Scott ^{(5)}
 Author Affiliations

 4. Dept. of Computing Science, University of Glasgow, Glasgow G12 8QQ, Scotland
 5. Dept. of Mathematics, University of Glasgow, Glasgow G12 8QQ, Scotland
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