Triangulations of Oriented Matroids and Convex Polytopes

DOI10.1137/0605050zbMath0557.05026OpenAlexW1983336137MaRDI QIDQ3222211

Billera, Louis J., Beth Spellman Munson

Publication date: 1984

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0605050

zbMATH Keywords

convex polytopetriangulationsoriented matroid

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Polytopes and polyhedra (52Bxx)

Related Items

Polytopal and nonpolytopal spheres. An algorithmic approach, Separation theorems for oriented matroids, Cell decomposition of polytopes by bending, Uniform oriented matroids without the isotopy property, Tverberg-type theorems for pseudoconfigurations of points in the plane, The complexity of point configurations, Neighborly polytopes and oriented matroids, Constructions and complexity of secondary polytopes, Gröbner bases of toric varieties

Cites Work

• Polarity and inner products in oriented matroids
• Convexity in oriented matroids
• Euler's relation, Moebius functions and matroid identities
• Oriented matroids
• Orientability of matroids
• Convex Analysis
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