Large empty convex polygons in \(k\)-convex sets

DOI10.1023/A:1025757808886zbMath1026.52016OpenAlexW1789265278MaRDI QIDQ1410439

Gábor Kun, Gabor Lippner

Publication date: 14 October 2003

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025757808886

zbMATH Keywords

\(k\)-convex set of pointsempty convex \(n\)-gon

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (5)

Drawing the almost convex set in an integer grid of minimum size ⋮ On \(k\)-convex polygons ⋮ Every large point set contains many collinear points or an empty pentagon ⋮ A simple proof for open cups and caps ⋮ Constructions from empty polygons

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