A remark on perimeter-diameter and perimeter-circumradius inequalities under lattice constraints

DOI10.1007/s00022-014-0233-3zbMath1319.52003arXiv1310.6534OpenAlexW2152381250MaRDI QIDQ2352472

Bernardo González Merino, Matthias Schymura

Publication date: 2 July 2015

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

Full work available at URL: https://arxiv.org/abs/1310.6534

zbMATH Keywords

diametercircumradiusperimeterlattice-free convex set

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integer points in polyhedra
• Modifying Minkowski's theorem
• Unsolved problems in geometry
• Some inequalities for planar convex figures
• Area-Diameter Relations for Two-Dimensional Lattices
• Two inequalities for convex sets in the plane
• Some inequalities for planar convex sets containing one lattice point
• Inradius and circumradius for planar convex bodies containing no lattice points
• New inequalities for planar convex sets with lattice point constraints
• An isodiametric problem with lattice-point constraints
• Convex and Discrete Geometry

This page was built for publication: A remark on perimeter-diameter and perimeter-circumradius inequalities under lattice constraints