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In mathematics, a polymatroid is a polytope associated with a submodular function. The notion was introduced by Jack Edmonds in 1970. It is also a generalization of the notion of a matroid.
Definition, Relation to generalized permutahedra & Discrete polymatroids
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displaystyle set matroid geq function mathbb polytope submodular definition discrete generalized leq textbf polymatroids subseteq integer independent notion permutahedron vector
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Polymatroid | is a | polytope associated with a submodular function | 0.90 | text |
| Polymatroid | is a | pair | 0.90 | text |
| Polymatroid | is a | polymatroid for which the codomain of f | 0.90 | text |
| Polymatroid | is a | matroid | 0.90 | text |
| Polymatroid | related to Contrapolymatroids | For | 0.60 | section |
| Polymatroid | related to Contrapolymatroids | This | 0.60 | section |
| Polymatroid | related to Discrete polymatroids | Discrete | 0.60 | section |
| Polymatroid | related to Discrete polymatroids | Given | 0.60 | section |
| Polymatroid | related to Discrete polymatroids | Thus | 0.60 | section |
| Polymatroid | related to Discrete polymatroids | Also | 0.60 | section |
| Polymatroid | related to Matroidal definition | In | 0.60 | section |
| Polymatroid | related to Matroidal definition | That | 0.60 | section |
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