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...
- 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...
- In matroid theory, the dual of a matroid M {\displaystyle M} is another matroid M ∗ {\displaystyle M^{\ast }} that has the same elements as M {\displaystyle...
- The matroid partitioning problem is a problem arising in the mathematical study of matroids and in the design and analysis of algorithms, in which the...
- In matroid theory, an Eulerian matroid is a matroid whose elements can be partitioned into a collection of disjoint circuits. In a uniform matroid U n...
- In matroid theory, a mathematical discipline, the girth of a matroid is the size of its smallest circuit or dependent set. The cogirth of a matroid is...
- 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...
- of matroids, a minor of a matroid M is another matroid N that is obtained from M by a sequence of restriction and contraction operations. Matroid minors...
- matroid theory, a binary matroid is a matroid that can be represented over the finite field GF(2). That is, up to isomorphism, they are the matroids whose...
- algorithms optimally solve combinatorial problems having the properties of matroids, and give constant-factor approximations to optimization problems with...
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