On the number of points with pairwise integral distances on a circle

DOI10.1016/j.dam.2018.07.004zbMath1409.52017OpenAlexW2885447503WikidataQ129441340 ScholiaQ129441340MaRDI QIDQ1720303

Ganbileg Bat-Ochir

Publication date: 8 February 2019

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2018.07.004

zbMATH Keywords

minimal radiusan \(n\) integral points setGaussian prime factorization

Mathematics Subject Classification ID

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

Related Items (2)

A geometric representation of integral solutions of x² + xy + y² = m² ⋮ On existence of integral point sets and their diameter bounds

Cites Work

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• Lattice embeddings of planar point sets
• There are integral heptagons, no three points on a line, no four 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
• On the minimum diameter of plane integral point sets
• Maximal integral point sets over ℤ²
• Research Problems in Discrete Geometry
• Integral distances
• Unsolved problems in number theory

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