Explore: Matroids

M(G)} is called a cycle matroid. Matroids derived in this way are graphic matroids. Not every matroid is graphic, but all matroids on three elements are

structure from which the matroid was defined for graphic matroids, transversal matroids, gammoids, and linear matroids, and for matroids formed from these by

edge lengths one or the square root of two are exactly the delta-matroids. Matroid polytopes are members of the family of generalized permutohedra. Let

and algebraic matroids coincide, but for other fields there may exist algebraic matroids that are not linear; indeed the non-Pappus matroid is algebraic

finite undirected graph. The dual matroids of graphic matroids are called co-graphic matroids or bond matroids. A matroid that is both graphic and co-graphic

ordered. All oriented matroids have an underlying matroid. Thus, results on ordinary matroids can be applied to oriented matroids. However, the converse

delta-matroids. Delta-matroids have also been used to study constraint satisfaction problems. As a special case, an even delta-matroid is a delta-matroid in

Matroid, Inc. is a computer vision company that offers a platform for creating computer vision models, called detectors, to search visual media for objects

{\displaystyle x} in A {\displaystyle A} . A basic problem regarding weighted matroids is to find an independent set with a maximum total weight. This problem

In combinatorics, a matroid embedding is a set system (F, E), where F is a collection of feasible sets, that satisfies the following properties. Accessibility