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On the number of circuit–cocircuit reversal classes of an oriented matroid

• Authors : Chi Ho Yuen; Emeric Gioan;

Subjects: 0102 computer and information sciences; 02 engineering and technology; [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]

• Source: Discrete MathematicsDiscrete Mathematics, Elsevier, 2019, 342 (4), pp.1056-1059. ⟨10.1016/j.disc.2018.12.006⟩

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On the Holt–Klee property for oriented matroid programming

• Authors : Walter D. Morris

Subjects: Combinatorics; Linear function (calculus); Oriented matroid

• Source: European Journal of Combinatorics. 101:103460

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On Degeneracy in the P-Matroid Oriented Matroid Complementarity Problem

• Authors : Borzechowski, Michaela; Weber, Simon

Subjects: FOS: Computer and information sciences; Computer Science - Computational Complexity; FOS: Mathematics

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The Cohen–Macaulayness of the bounded complex of an affine oriented matroid

• Authors : Ryota Okazaki; Kohji Yanagawa

Subjects: Mathematics::Commutative Algebra; Polynomial ring; 010102 general mathematics

• Source: Journal of Combinatorial Theory, Series A. 157:1-27

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How Many Circuits Determine an Oriented Matroid?

• Authors : Jorge Luis Ramírez Alfonsín; Luis Pedro Montejano; Kolja Knauer ...

Subjects: Mathematics::Combinatorics; TheoryofComputation_GENERAL; Graph theory

• Source: CombinatoricaCombinatorica, Springer Verlag, 2018, 38 (4), pp.861-885. ⟨10.1007/s00493-016-3556-x⟩Combinatorica, 2018, 38 (4), pp.861-885. ⟨10.1007/s00493-016-3556-x⟩

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Oriented Matroid Structures From Realized Root Systems

• Authors : Weijia Wang; Matthew Dyer

Subjects: Structure (category theory); 0102 computer and information sciences; Group Theory (math.GR)

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Checking oriented matroid isomorphism by means of canonical labeling

• Authors : Jürgen Bokowski; Ernesto Staffetti

Subjects: Discrete mathematics; Applied Mathematics; Weighted matroid

• Source: Discrete Applied Mathematics. 161:2269-2280

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On the Holt-Klee Property for Oriented Matroid Programming

• Authors : Morris Jr, Walter D.

Subjects: Mathematics::Combinatorics; FOS: Mathematics; Mathematics - Combinatorics

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The Varchenko Determinant of an Oriented Matroid

• Authors : Randriamaro, Hery

Subjects: Mathematics::Combinatorics; 05B20, 05E10, 15A15, 52C35; FOS: Mathematics

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Oriented matroid systems

• Authors : Arne Bang Huseby

Subjects: Reliability theory; Discrete mathematics; Network reliability

• Source: Discrete Applied Mathematics. 159(1):31-45

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