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On the minimum diameter of plane integral point sets

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Publication:2918551
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zbMath1265.52018arXiv0804.1307MaRDI QIDQ2918551

Alfred Wassermann, Sascha Kurz

Publication date: 8 October 2012

Full work available at URL: https://arxiv.org/abs/0804.1307


zbMATH Keywords

diameterexhaustive searchintegral distanceorderly generation


Mathematics Subject Classification ID

Integral geometry (53C65) Erd?s problems and related topics of discrete geometry (52C10) Diophantine equations (11D99)


Related Items (7)

On the number of points with pairwise integral distances on a circle ⋮ There are integral heptagons, no three points on a line, no four on a circle ⋮ A geometric representation of integral solutions of x2 + xy + y2 = m2 ⋮ Integral point sets over \(\mathbb Z_n^m\) ⋮ Integral point sets in higher dimensional affine spaces over finite fields ⋮ Maximal integral point sets in affine planes over finite fields ⋮ On existence of integral point sets and their diameter bounds







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