An Algorithm for a Super-Stable Roommates Problem

Fleiner, T., Irving, R. W. and Manlove, D. F. (2008) An Algorithm for a Super-Stable Roommates Problem. In: Match-UP 2008: Matching Under Preferences - Algorithms and Complexity, Reykjavík, Iceland, 06 Jul 2008, pp. 126-132.

[img]
Preview
Text
150544.pdf - Accepted Version

321kB

Publisher's URL: http://www.optimalmatching.com/workshop/matchup.pdf

Abstract

In this paper we describe an efficient algorithm that decides if a stable matching exists for a generalized stable roommates problem, where, instead of linear preferences, agents have partial preference orders on potential partners. Furthermore, we may forbid certain partnerships, that is, we are looking for a matching such that none of the matched pairs is forbidden, and yet, no blocking pair (forbidden or not) exists. To solve the above problem, we generalize the first algorithm for the ordi- nary stable roommates problem.

Item Type:Conference Proceedings
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Manlove, Professor David and Irving, Dr Robert and Fleiner, Dr Tamas
Authors: Fleiner, T., Irving, R. W., and Manlove, D. F.
College/School:College of Science and Engineering > School of Computing Science
Copyright Holders:Copyright © 2008 The Authors
First Published:First published in Match-UP 2008: Matching Under Preferences - Algorithms and Complexity: 126-132
Publisher Policy:Reproduced with the permission of the Editor

University Staff: Request a correction | Enlighten Editors: Update this record

Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
436361MATCH-UP - matching under preferences - algorithms and complexityRobert IrvingEngineering and Physical Sciences Research Council (EPSRC)EP/E011993/1COM - COMPUTING SCIENCE
320021Algorithmics of Stable Matching Problems with IndifferenceDavid ManloveEngineering and Physical Sciences Research Council (EPSRC)GR/R84597/01COM - COMPUTING SCIENCE
436361MATCH-UP - matching under preferences - algorithms and complexityRobert IrvingEngineering and Physical Sciences Research Council (EPSRC)EP/E011993/1COM - COMPUTING SCIENCE