Jarník's convex lattice \(n\)-gon for non-symmetric norms

DOI10.1007/s00209-010-0816-0zbMath1243.52013arXiv0911.4361OpenAlexW2129611928MaRDI QIDQ415495

Nathanaël Enriquez, Imre Bárány

Publication date: 8 May 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4361

zbMATH Keywords

isoperimetric problemprimitive vectorsconvex lattice polygon

Mathematics Subject Classification ID

Isoperimetric problems for polytopes (52B60) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

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Cites Work

• Unnamed Item
• The minimum area of convex lattice \(n\)-gons
• On maximal convex lattice polygons inscribed in a plane convex set
• Limit shape of convex lattice polygons with minimal perimeter

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