On existence of integral point sets and their diameter bounds

zbMath1448.52003arXiv1906.11926MaRDI QIDQ3300691

N. N. Avdeev

Publication date: 29 July 2020

Full work available at URL: https://arxiv.org/abs/1906.11926

zbMATH Keywords

diametercardinalityintegral distance set

Mathematics Subject Classification ID

Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Cites Work

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• On the sets of points on the plane with integer-valued distances
• Note on integral distances
• Packing equal circles in a square: A deterministic global optimization approach
• On the number of points with pairwise integral distances on a circle
• An upper bound for the minimum diameter of integral point sets
• The maximum number of odd integral distances between points in the plane
• Valid constraints for the Point Packing in a Square problem
• On the minimum diameter of plane integral point sets
• Maximal integral point sets over ℤ²
• n-clusters for 1 < n < 7
• Bounds for the minimum diameter of integral point sets
• Integral distances
• Integral distances

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