Matroids

GPTKB entity

Statements (52)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application Coding theory
Optimization problems
Network design
Greedy algorithm
Algorithm design
gptkbp:field gptkb:Mathematics
Combinatorics
gptkbp:generalizes gptkb:Greedoids
Oriented matroid
Cycle matroids of graphs
Delta-matroid
Linear independence in vector spaces
Matroid base polytope
Matroid connectivity
Matroid intersection
Matroid minor
Matroid parity
Matroid polytope
Matroid union
Polymatroid
gptkbp:hasAxiom Exchange property
Hereditary property
Non-empty property
gptkbp:hasDual Dual matroid
gptkbp:hasInvariant gptkb:Circuit
Flat
Loop
Basis
Closure operator
Coloop
Rank function
gptkbp:hasSpecialCase Cographic matroid
Graphic matroid
Partition matroid
Transversal matroid
Uniform matroid
Vector matroid
https://www.w3.org/2000/01/rdf-schema#label Matroids
gptkbp:introduced gptkb:Hassler_Whitney
gptkbp:introducedIn 1935
gptkbp:operator Contraction
Direct sum
Deletion
gptkbp:relatedTo gptkb:Graph_theory
gptkb:Linear_algebra
Optimization
gptkbp:structure Collection of independent sets
Ground set
gptkbp:studiedIn Matroid theory
gptkbp:bfsParent gptkb:Greedoids
gptkbp:bfsLayer 7