The Perimeter of optimal convex lattice polygons in the sense of different metrics

DOI10.1017/S0004972700019298zbMath0983.11038MaRDI QIDQ2721592

Miloš Stojaković

Publication date: 10 July 2001

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

lattice pointsperimeterconvex lattice polygon

Mathematics Subject Classification ID

Extremal set theory (05D05) Lattices and convex bodies (number-theoretic aspects) (11H06) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items (2)

Limit shape of optimal convex Lattice polygons in the sense of different metrics. ⋮ Limit shape of convex lattice polygons with minimal perimeter

Cites Work

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• Integer points on curves and surfaces
• On the maximal number of edges of convex digital polygons included into an \(m \times m\)-grid
• The number of lattice points on a convex curve
• An exact construction of digital convex polygons with minimal diameter
• The number of integral points on arcs and ovals
• Notes on Optimal Convex Lattice Polygons

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