Abstract
The popular matching problem introduced by Abraham, Irving, Kavitha, and Mehlhorn is one of bipartite matching problems with one-sided preference lists. In this paper, we first propose a matroid generalization of the weighted variant of popular matchings introduced by Mestre. Then we give a characterization of weighted popular matchings in bipartite graphs with matroid constraints and one-sided preference lists containing no ties. This characterization is based on the characterization of weighted popular matchings proved by Mestre. Lastly we prove that we can decide whether a given matching is a weighted popular matching under matroid constraints in polynomial time by using our characterization.
Original language | English |
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Pages (from-to) | 2-17 |
Number of pages | 16 |
Journal | Journal of the Operations Research Society of Japan |
Volume | 61 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2018 |
All Science Journal Classification (ASJC) codes
- Decision Sciences(all)
- Management Science and Operations Research