Name
Abstract | ||
|---|---|---|
We describe a fixed-point based approach to the theory of bipartite stable matchings. By this, we provide a common framework that links together seemingly distant results, like the stable marriage theorem of Gale and Shapley, the Mendelsohn-Dulmage theorem, the Kundu-Lawler theorem, Tarski's fixed-point theorem, the Cantor-Bernstein theorem, Pym's linking theorem, or the monochromatic path theorem of Sands et al. In this framework, we formulate a matroid-generalization of the stable marriage theorem and study the lattice structure of generalized stable matchings. Based on the theory of lattice polyhedra and blocking polyhedra, we extend results of Vande Vate and Rothblum on the bipartite stable matching polytope. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1287/moor.28.1.103.14256 | Math. Oper. Res. |
Keywords | DocType | Volume |
Kundu-Lawler theorem,generalized stable matchings,bipartite stable matchings,Cantor-Bernstein theorem,common framework,monochromatic path theorem,fixed-point theorem,fixed-point approach,Mendelsohn-Dulmage theorem,bipartite stable matching polytope,stable marriage theorem | Journal | 28 |
Issue | ISSN | Citations |
1 | 0364-765X | 72 |
PageRank | References | Authors |
5.23 | 10 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tamás Fleiner | 1 | 241 | 27.45 |