Definition of Matroid. Meaning of Matroid. Synonyms of Matroid

Here you will find one or more explanations in English for the word Matroid. Also in the bottom left of the page several parts of wikipedia pages related to the word Matroid and, of course, Matroid synonyms and on the right images related to the word Matroid.

Definition of Matroid

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Meaning of Matroid from wikipedia

- In combinatorics, a branch of mathematics, a matroid /ˈmeɪtrɔɪd/ is a structure that abstracts and generalizes the notion of linear independence in vector...
- algorithms optimally solve combinatorial problems having the properties of matroids, and give constant-factor approximations to optimization problems with...
- B is unbalanced. Biased graphs are interesting mostly because of their matroids, but also because of their connection with multiary quasigroups. See below...
- In the mathematical theory of matroids, a graphic matroid (also called a cycle matroid or polygon matroid) is a matroid whose independent sets are the...
- unified in matroid theory by the girth of a matroid, the size of the smallest dependent set in the matroid. For a graphic matroid, the matroid girth equals...
- In matroid theory, the dual of a matroid M {\displaystyle M} is another matroid ...
- geometric lattices and matroids, this lattice of partitions of a finite set corresponds to a matroid in which the base set of the matroid consists of the atoms...
- a greedoid is a type of set system. It arises from the notion of the matroid, which was originally introduced by Whitney in 1935 to study planar graphs...
- Thus the combinatorial topics may be enumerative in nature or involve matroids, polytopes, partially ordered sets, or finite geometries. On the algebraic...
- theory of matroids, the rank of a matroid is the maximum size of an independent set in the matroid. The rank of a subset S of elements of the matroid is, similarly...
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