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What and Who

Popular matchings in the stable marriage setting

Kavitha Telikepalli
Tata Institute of Fundamental Research, Mumbai
Talk
AG 1  
AG Audience
English

Date, Time and Location

Friday, 22 June 2012
13:00
30 Minutes
E1 4
024
Saarbrücken

Abstract

We show a linear time algorithm for computing a maximum cardinality popular matching in the stable marriage setting. We then show that for every integer k > 1, there is a matching whose unpopularity is at most k-1 and whose size is at least k/(k+1).(size of a maximum cardinality matching). Such a matching can be computed efficiently by extending the Gale-Shapley stable matching algorithm.

Contact

Saurabh Ray
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Saurabh Ray, 06/14/2012 12:30 -- Created document.