matroid lattice

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• Matroid — In combinatorics, a branch of mathematics, a matroid (  /ˈmeɪ …   Wikipedia

• Semimodular lattice — This article is about generalizations of modularity in terms of the atomic covering relation. For M symmetry, the generalization of modularity in terms of modular pairs, see modular lattice. The centred hexagon lattice S7, also known as D2, is… …   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

• Dowling geometry — In combinatorial mathematics, a Dowling geometry, named after Thomas A. Dowling, is a matroid associated with a group. There is a Dowling geometry of each rank for each group. If the rank is at least 3, the Dowling geometry uniquely determines… …   Wikipedia

• Duality (mathematics) — In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one to one fashion, often (but not always) by means of an involution operation: if the dual… …   Wikipedia

• Cryptomorphism — In mathematics, two objects, especially systems of axioms or semantics for them, are called cryptomorphic if they are equivalent (possibly in some informal sense) but not obviously equivalent. This word is a play on the many morphisms in… …   Wikipedia

• Ordinal optimization — In mathematical optimization, ordinal optimization is the maximization of functions taking values in a partially ordered set ( poset ). Ordinal optimization has applications in the theory of queuing networks. Contents 1 Mathematical foundations 1 …   Wikipedia

• Closure operator — In mathematics, a closure operator on a set S is a function cl: P(S) → P(S) from the power set of S to itself which satisfies the following conditions for all sets X,Y ⊆ S. X ⊆ cl(X) (cl is extensive) X ⊆ Y implies cl(X) ⊆ cl(Y)   (cl… …   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

• List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

• Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia