Maximal integral point sets over ℤ2

DOI10.1080/00207160902993636zbMath1242.52019arXiv0804.1280OpenAlexW2121457471MaRDI QIDQ3056402

Andrey Radoslavov Antonov, Sascha Kurz

Publication date: 12 November 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1280

zbMATH Keywords

integral distancesmaximal integral point sets

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Erd?s problems and related topics of discrete geometry (52C10) Extremal combinatorics (05D99)

Related Items (2)

On the number of points with pairwise integral distances on a circle ⋮ On existence of integral point sets and their diameter bounds

Uses Software

• Cliquer

Cites Work

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• There are integral heptagons, no three points on a line, no four on a circle
• Integral point sets over \(\mathbb Z_n^m\)
• Maximal integral point sets in affine planes over finite fields
• An upper bound for the minimum diameter of integral point sets
• Integral distances in Banach spaces
• Integral distances
• Integral distances

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