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Theorem on four support vertices of a polygonal line

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Publication:1357916
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DOI10.1007/BF02509512zbMath0880.52002MaRDI QIDQ1357916

Vyacheslav D. Sedykh

Publication date: 25 June 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

discrete four-vertex theorem


Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)


Related Items (3)

The extremal spheres theorem ⋮ A discrete four vertex theorem ⋮ Torsion of locally convex curves



Cites Work

  • Unnamed Item
  • A four-vertex theorem for polygons and its generalization to polytopes
  • Primitives for the manipulation of general subdivisions and the computation of Voronoi


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