Cyclic arrangements and Roudneff's conjecture in the space

DOI10.1016/S0020-0190(99)00115-5zbMath1003.52012WikidataQ122899294 ScholiaQ122899294MaRDI QIDQ1606989

Jorge Luis Ramírez Alfonsín

Publication date: 25 July 2002

Published in: Information Processing Letters (Search for Journal in Brave)

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (4)

Strands algebras and the affine highest weight property for equivariant hypertoric categories ⋮ On \(k\)-neighborly reorientations of oriented matroids ⋮ The \(m=1\) amplituhedron and cyclic hyperplane arrangements ⋮ Roudneff's conjecture for Lawrence oriented matroids

Cites Work

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• Simplicial cells in arrangements of hyperplanes
• Convexity in oriented matroids
• Cells with many facets in arrangements of hyperplanes
• Oriented matroids
• Oriented matroids and multiply ordered sets
• Rich cells in an arrangement of hyperplanes
• The maximum numbers of faces of a convex polytope
• On counting the \(k\)-face cells of cyclic arrangements

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