Optimal popular matchings

Kavitha, Telikepalli and Nasre, Meghana (2009) Optimal popular matchings. In: Discrete Applied Mathematics, 157 (14). pp. 3181-3186.

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Abstract

In this paper we consider the problem of computing an “optimal” popular matching. We assume that our input instance View the MathML source admits a popular matching and here we are asked to return not any popular matching but an optimal popular matching, where the definition of optimality is given as a part of the problem statement; for instance, optimality could be fairness in which case we are required to return a fair popular matching. We show an O(n2+m) algorithm for this problem, assuming that the preference lists are strict, where m is the number of edges in G and n is the number of applicants.

Item Type:	Journal Article
Publication:	Discrete Applied Mathematics
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Keywords:	Design of algorithms;Bipartite graphs;Matchings;One-sided preference lists
Department/Centre:	Division of Electrical Sciences > Computer Science & Automation
Date Deposited:	16 Dec 2009 11:23
Last Modified:	19 Sep 2010 05:47
URI:	http://eprints.iisc.ac.in/id/eprint/23832

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