Antimatroids induced by matchings
Copyright policy )Antimatroids induced by matchings
We explore novel connections between antimatroids and matchings in bipartite graphs. In particular, we prove that a combinatorial structure induced by stable matchings or maximum-weight matchings is an antimatroid. Moreover, we demonstrate that every antimatroid admits such a representation by stable matchings and maximum-weight matchings.
- Osaka University Japan
- Institute of Science Tokyo Japan
FOS: Computer and information sciences, stable matchings, bipartite graphs, Discrete Mathematics (cs.DM), Combinatorial aspects of matroids and geometric lattices, antimatroids, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), weighted matchings, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Computer Science - Discrete Mathematics
FOS: Computer and information sciences, stable matchings, bipartite graphs, Discrete Mathematics (cs.DM), Combinatorial aspects of matroids and geometric lattices, antimatroids, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), weighted matchings, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Computer Science - Discrete Mathematics
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