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In combinatorics, a matroid /ˈmeɪtrɔɪd/ is a structure that abstracts and generalizes the notion of linear independence in vector spaces. There are many equivalent ways to define a matroid axiomatically, the most significant being in terms of: independent sets; bases or circuits; rank functions; closure operators; and closed sets or flats. In the…
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displaystyle set matroids called rank independent theory sets subset subsets finite every graph elements element field one polynomial linear equivalent
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Matroid | is a | matroid in which every proper | 0.90 | text |
| Matroid | is a | matroid that is representable over all possible fields | 0.90 | text |
| Matroid | is a | simplest example of a matroid that is not representable over any field.Matroids from graph theoryA second original source for the theory of matroids is graph theory.Every finite… | 0.90 | text |
| Matroid | is a | bicircular matroid of G | 0.90 | text |
| Matroid | is a | simplest example of a matroid that is not representable over any field | 0.90 | text |
| Matroid | is a | strict gammoid and vice versa.ExampleThe cycle matroid of a graph is the dual matroid of its bond matroid | 0.90 | text |
| Matroid | is a | size of its smallest circuit or dependent set.An element that forms a single-element circuit of M is called a loop | 0.90 | text |
| Matroid | related to Additional terms | Let | 0.60 | section |
| Matroid | related to Additional terms | Its | 0.60 | section |
| Matroid | related to Algorithms | Several | 0.60 | section |
| Matroid | related to Algorithms | In | 0.60 | section |
| Matroid | related to Algorithms | Finding | 0.60 | section |
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