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Oriented matroid

An oriented matroid is a mathematical structure that abstracts the properties of directed graphs, vector arrangements over ordered fields, and hyperplane arrangements over ordered fields. In comparison, an ordinary (i.e., non-oriented) matroid abstracts the dependence properties that are common both to graphs, which are not necessarily directed, and to…

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Oriented matroid

Nodes94
Edges93
Triples250
Avg. degree1.98
Density0.021277
Components1

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Oriented matroid

Top relations

related to Articles · 78
Oriented matroid → Amsterdam, An, Annals, Applications, Archived, Bachem, BF01582581, BF01585729, BF02096264, BF02614325, Bland, Bose, Chinese Annals, Cite, CiteSeerX, Combinatorial Mathematics, Combinatorial Theory, Criss-cross, Discrete Math, Dominique
related to Books · 64
Oriented matroid → Academic Press, Achim, Albert, An Introduction, Anders, Athena Scientific, Bachem, Bernd, Björner, Boca Raton, Bokowski, Cambridge University Press, Combinatorial Optimization, Computational, Computational Geometry, CRC Press, Dimitri Bertsekas, Discrete, Dover, Encyclopedia
related to Optimization · 16
Oriented matroid → Albert, Bland, Dantzig's, In, It, Robert, Rockafellar, Similar, Similarly, Terlaky, The, Todd, Tucker, Tucker's, Tyrrell Rockafellar, Zhang
related to On the web · 15
Oriented matroid → American Mathematical Society, Combinatorics, DS4, Feature Column, Günter, Joseph, Malkevitch, Oriented Matroids, Oriented Matroids Today, Retrieved, Sep, The Electronic Journal, The Power, Unification, Ziegler
related to Geometry · 10
Oriented matroid → Banach, Carathéodory's, Farkas, Hahn, Helly's, Krein, Many, Milman, Radon's, The
related to Topological representation · 9
Oriented matroid → Finally, Folkman, However, In, It, Jim Lawrence, Jon Folkman, Lawrence, Not
related to Circuit axioms · 8
Oriented matroid → C0, C1, C2, C3, For, If, Let, We
related to Equivalence of chirotopes with basis orientations · 8
Oriented matroid → B0, B2, Every, If, In, The, Then, Thus
related to Duality · 7
Oriented matroid → Just, The, Thus, To, Two, We, What
related to history · 7
Oriented matroid → George, His, Minty, Minty's, Rockafellar, Subsequently, The

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Important terminology

oriented matroid displaystyle matroids signed set doi 10 circuit programming textstyle circuits sets chirotope linear mr theory directed sign dual

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Oriented matroidis amathematical structure that abstracts the properties of directed graphs0.90text
dimension theoryinstance ofThe distinction between matroids and oriented matroids is discussed further below.Matroids are often useful in areas0.80text
algorithmsinstance ofThe distinction between matroids and oriented matroids is discussed further below.Matroids are often useful in areas0.80text
Oriented matroidrelated to ArticlesBachem0.60section
Oriented matroidrelated to ArticlesWanka0.60section
Oriented matroidrelated to ArticlesSeparation0.60section
Oriented matroidrelated to ArticlesDiscrete Math0.60section
Oriented matroidrelated to ArticlesBland0.60section
Oriented matroidrelated to ArticlesRobert0.60section
Oriented matroidrelated to ArticlesNew0.60section
Oriented matroidrelated to ArticlesMathematics0.60section
Oriented matroidrelated to ArticlesOperations Research0.60section

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