connected matroid
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Matroid — In combinatorics, a branch of mathematics, a matroid ( /ˈmeɪ … Wikipedia
Bicircular matroid — In in the mathematical subject of matroid theory, the bicircular matroid of a graph G is the matroid B ( G ) whose points are the edges of G and whose independent sets are the edge sets of pseudoforests of G , that is, the edge sets in which each … Wikipedia
Weighted matroid — In combinatorics, a branch of mathematics, a weighted matroid is a matroid endowed with function with respect to which one can perform a greedy algorithm.There is a simple algorithm for finding a basis:* Let A be the empty set. * For each x in E… … Wikipedia
Pseudoforest — A 1 forest (a maximal pseudoforest), formed by three 1 trees In graph theory, a pseudoforest is an undirected graph[1] in which every connected component has at most one cycle. That is, it is a system of vertices and edges connecting pairs of ve … Wikipedia
Tutte polynomial — This article is about the Tutte polynomial of a graph. For the Tutte polynomial of a matroid, see Matroid. The polynomial x4 + x3 + x2y is the Tutte polynomial of the Bull graph. The red line shows the intersection with the plane … Wikipedia
Greedoid — In combinatorics, 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 and was later used by Edmonds to characterize a class of optimization… … Wikipedia
Dual graph — G′ is the dual graph of G In mathematics, the dual graph of a given planar graph G is a graph which has a vertex for each plane region of G, and an edge for each edge in G joining two neighboring regions, for a certain embedding of G. The term… … Wikipedia
Combinatorics — is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met,… … Wikipedia
Mnev's universality theorem — In algebraic geometry, Mnev s universality theorem is a result which can be used to represent algebraic (or semi algebraic) varieties as realizations of oriented matroids, a notion of combinatorics. Contents 1 Oriented matroids 2 Stable… … Wikipedia
Gain graph — A gain graph is a graph whose edges are labelled invertibly, or orientably, by elements of a group G . This means that, if an edge e in one direction has label g (a group element), then in the other direction it has label g −1. The label function … Wikipedia
Graph (mathematics) — This article is about sets of vertices connected by edges. For graphs of mathematical functions, see Graph of a function. For statistical graphs, see Chart. Further information: Graph theory A drawing of a labeled graph on 6 vertices and 7 edges … Wikipedia