On maximal convex lattice polygons inscribed in a plane convex set

DOI10.1007/BF02773612zbMath1144.52007OpenAlexW2018137633MaRDI QIDQ2472723

Maria N. Prodromou, Imre Bárány

Publication date: 22 February 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773612

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (5)

Jarník's convex lattice \(n\)-gon for non-symmetric norms ⋮ ITERATIONS OF CURVATURE IMAGES ⋮ The diameter of lattice zonotopes ⋮ Affine surface area and convex bodies of elliptic type ⋮ Extremal general affine surface areas

Cites Work

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• Sylvester's question: The probability that \(n\) points are in convex position
• Limit shape of convex lattice polygons having the minimal \(L_\infty\) diameter w. r. t. the number of their vertices
• The limit shape of convex lattice polygons
• Isoperimetric problems for convex bodies and a localization lemma
• Affine perimeter and limit shape.
• [https://portal.mardi4nfdi.de/wiki/Publication:5728818 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten]
• A Lower Bound for the Volume of Strictly Convex Bodies with many Boundary Lattice Points

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