Definition of Matroids. Meaning of Matroids. Synonyms of 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...
- ordered. All oriented matroids have an underlying matroid. Thus, results on ordinary matroids can be applied to oriented matroids. However, the converse...
- linear matroids. However, it is NP-hard for certain compactly-represented matroids, and requires more than a polynomial number of steps in the matroid oracle...
- 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...
- Matroid, Inc. is a computer vision company that offers a platform for creating computer vision models, called detectors, to search visual media for objects...
- 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...
- circuits. For matroids that are not binary, the duality between Eulerian and bipartite matroids may break down. For instance, the uniform matroid U 6 4 {\displaystyle...