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On particular diameter bounds for integral point sets in higher dimensions - MaRDI portal

On particular diameter bounds for integral point sets in higher dimensions

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Publication:6325819

arXiv1909.10386MaRDI QIDQ6325819

R. E. Zvolinsky, N. N. Avdeev, E. A. Momot

Publication date: 23 September 2019

Abstract: We give an attempt to build a classification of planar integral point sets. For two obtained classes, we provide general constructions of upper bounds for minimal diameter of integral point sets in higher dimensions of certain cardinality. Employing machine search, we give the examples of planar integral point sets to build such bounds.












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