An upper bound for the minimum diameter of integral point sets

DOI10.1007/BF02189331zbMath0784.52020MaRDI QIDQ1802223

Heiko Harborth, Arnfried Kemnitz, Meinhard Möller

Publication date: 16 June 1993

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131255

zbMATH Keywords

minimal diameterintegral point set

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10) Elementary problems in Euclidean geometries (51M04)

Related Items (11)

On a question of Erdős and Ulam ⋮ The maximum number of odd integral distances between points in the plane ⋮ Odd wheels are not odd-distance graphs ⋮ Note on integral distances ⋮ On the number of points with pairwise integral distances on a circle ⋮ Maximal integral point sets over ℤ² ⋮ A geometric representation of integral solutions of x² + xy + y² = m² ⋮ Integral point sets over \(\mathbb Z_n^m\) ⋮ Maximal integral point sets in affine planes over finite fields ⋮ Plane integral drawings of the platonic solid graphs with triangle faces ⋮ On existence of integral point sets and their diameter bounds

Cites Work

• Auf einem Kreis liegende Punktmengen ganzzahliger Entfernungen
• Unsolved problems in number theory
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