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On the number of simplicial complexes in \(\mathbb{R}^ d\)

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Publication:1370935
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DOI10.1016/S0925-7721(97)00007-2zbMath0889.68147MaRDI QIDQ1370935

Nimish R. Shah, Tamal Krishna Dey

Publication date: 28 October 1997

Published in: Computational Geometry (Search for Journal in Brave)


zbMATH Keywords

simplicial complexesextremal problemsdiscrete geometry


Mathematics Subject Classification ID

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




Cites Work

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  • Triangulated n-manifolds are determined by their \([n/2+1\)-skeletons]
  • Upper bounds for configurations and polytopes in \({\mathbb{R}}^ d\)
  • Many triangulated spheres
  • On counting triangulations in \(d\) dimensions
  • Counting triangle crossings and halving planes
  • Empty Simplices in Euclidean Space
  • Crossing-Free Subgraphs
  • The Upper Bound Conjecture and Cohen-Macaulay Rings
  • On Dedekind's Problem: The Number of Monotone Boolean Functions
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