The notion of popularity captures a natural relaxation of stability, where pairwise stability is weakened to global stability. Hence in problems where, for the sake of increasing the size of the resulting matching, we are willing to weaken stability to popularity, what we seek is a maximum cardinality popular matching.
Dec 18, 2013 · A matching M is said to be popular if there is no matching where more vertices are happier than in M. The set of popular matchings is non-empty ...
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The set of popular matchings is non-empty since every stable matching is popular and it is known that stable matchings always exist in G. The problem of ...
Abstract. Given a bipartite graph G = (A∪B, E) where each vertex ranks its neighbors in a strict order of preference, we consider.
In the stable marriage setting, where both applicants and posts have strict preferences, a popular matching always exists and a maximum cardinality popular ...
Jan 17, 2012 · A matching M is said to be popular if there is no matching where more vertices are happier than in M. The set of popular matchings is non-empty ...
Popularity vs Max-cardinality in the stable marriage setting – Kavitha Telikepalli ... We first show a linear time algorithm for computing a maximum-size
In this paper we give a simple characterization of popular matchings when preference lists are strict and a sufficient condition for a maximum cardinality ...
[9] T. Kavitha, Popularity vs. maximum cardinality in the stable marriage setting, in Proceed- ings of the Twenty-Third Annual ACM-SIAM Symposium on ...
Apr 26, 2013 · In the stable marriage setting, the notion of pupularity of a matching is introduced. I will present a new algorithm for computing a maximum ...