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Estimating the number of vertices of a polyhedron

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Publication:1607035
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DOI10.1016/S0020-0190(00)00011-9zbMath1014.68200OpenAlexW2123276592MaRDI QIDQ1607035

David Avis, Luc P. Devroye

Publication date: 25 July 2002

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

Full work available at URL: https://doi.org/10.1016/s0020-0190(00)00011-9


zbMATH Keywords

polyhedrontree estimation methods


Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)


Related Items

\texttt{mplrs}: a scalable parallel vertex/facet enumeration code ⋮ Counting vertices of integral polytopes defined by facets ⋮ Stochastic enumeration method for counting trees


Uses Software

  • cdd
  • ZRAM


Cites Work

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  • A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra
  • An optimal convex hull algorithm in any fixed dimension
  • McMullen's conditions and some lower bounds for general convex polytopes
  • The parallel search bench ZRAM and its applications
  • Reverse search for enumeration
  • Estimating the Efficiency of Backtrack Programs
  • Combinatorial Analysis and Computers
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