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Rich cells in an arrangement of hyperplanes

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Publication:1899434
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DOI10.1016/0024-3795(95)00244-LzbMath0831.52007MaRDI QIDQ1899434

János Pach, H. Bunting, Imre Bárány, David G. Larman

Publication date: 12 February 1996

Published in: Linear Algebra and its Applications (Search for Journal in Brave)


zbMATH Keywords

arrangement of hyperplanesCarathéodory's theoremconvex position


Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)


Related Items (4)

Erdős-Szekeres theorem for \(k\)-flats ⋮ On \(k\)-neighborly reorientations of oriented matroids ⋮ On counting the \(k\)-face cells of cyclic arrangements ⋮ Cyclic arrangements and Roudneff's conjecture in the space



Cites Work

  • Unnamed Item
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  • Extremal problems in discrete geometry
  • Combinatorial complexity bounds for arrangements of curves and spheres
  • Hamilton Paths in Tournaments and a Problem of McMullen on Projective Transformations in R d
  • Foundations of a theory of convexity on affine Grassmann manifolds
  • On Sets Projectively Equivalent to the Vertices of a Convex Polytope


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