Note on integral distances

DOI10.1007/s00454-003-0014-7zbMath1047.52011OpenAlexW2113124893WikidataQ57534455 ScholiaQ57534455MaRDI QIDQ1423591

József Solymosi

Publication date: 7 March 2004

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

Full work available at URL: https://doi.org/10.1007/s00454-003-0014-7

zbMATH Keywords

integral distancesintegral setminimum and maximum distances in integral sets

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10)

Related Items (8)

On a question of Erdős and Ulam ⋮ Distance sets relating to orthogonal exponentials ⋮ A new proof of the graph removal lemma ⋮ Sets with integral distances in finite fields ⋮ Integral point sets over \(\mathbb Z_n^m\) ⋮ On uniform boundedness of a rational distance set in the plane ⋮ Maximal integral point sets in affine planes over finite fields ⋮ On existence of integral point sets and their diameter bounds

Cites Work

• Every graph is an integral distance graph in the plane
• An upper bound for the minimum diameter of integral point sets
• Diophantine problems in geometry and elliptic ternary forms
• Elliptic Curves and Rational Distance Sets
• Integral distances
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