Cells with many facets in arrangements of hyperplanes

DOI10.1016/0012-365X(91)90375-CzbMath0760.52008MaRDI QIDQ1185096

Jean-Pierre Roudneff

Publication date: 28 June 1992

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

arrangements of hyperplanescell complexes

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (6)

On the number of vertices of projective polytopes ⋮ On \(k\)-neighborly reorientations of oriented matroids ⋮ Matroid shellability, \(\beta\)-systems, and affine hyperplane arrangements ⋮ On counting the \(k\)-face cells of cyclic arrangements ⋮ Roudneff's conjecture for Lawrence oriented matroids ⋮ Cyclic arrangements and Roudneff's conjecture in the space

Cites Work

• Unnamed Item
• The complexity of cells in three-dimensional arrangements
• Simplicial cells in arrangements and mutations of oriented matroids
• Simplicial cells in arrangements of hyperplanes
• Convexity in oriented matroids
• Oriented matroids
• Orientability of matroids
• The Tutte polynomial

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