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Gale diagrams of convex polytopes and positive spanning sets of vectors

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Publication:797150
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DOI10.1016/0166-218X(84)90090-8zbMath0545.52006MaRDI QIDQ797150

Daniel A. Marcus

Publication date: 1984

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


zbMATH Keywords

Gale diagrampositive k-spanning setunneighbourly polytope


Mathematics Subject Classification ID

Other problems of combinatorial convexity (52A37)


Related Items

Polytopes with few vertices and few facets ⋮ Using orthogonally structured positive bases for constructing positive \(k\)-spanning sets with cosine measure guarantees ⋮ A relationship between Gale transforms and Voronoi diagrams ⋮ Using Gale transforms in computational geometry



Cites Work

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  • Polytope pairs and their relationship to linear programming
  • The numbers of faces of simplicial polytopes
  • Linear Inequalities and Related Systems. (AM-38)
  • Minimal Positive 2-Spanning Sets of Vectors
  • Simplicial faces and sections of a convex polytope
  • The number of neighbourly d ‐polytopes with d +3 vertices
  • Polytopes, graphs, and complexes
  • The number of d ‐polytopes with d +3 vertices
  • Theory of Positive Linear Dependence
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