On the chromatic numbers of low-dimensional spaces


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Abstract

New lower bounds are found for the minimum number of colors needed to color all points of a Euclidean space in such a way that any two points at a distance of 1 have different colors.

About the authors

D. D. Cherkashin

St. Petersburg State University; Moscow Institute of Physics and Technology (State University); Université de Genève

Email: mraigor@yandex.ru
Russian Federation, St. Petersburg; Dolgoprudnyi, Moscow oblast, 141700; Genève

A. M. Raigorodskii

Moscow Institute of Physics and Technology (State University); Faculty of Mechanics and Mathematics; Institute of Mathematics and Informatics

Author for correspondence.
Email: mraigor@yandex.ru
Russian Federation, Dolgoprudnyi, Moscow oblast, 141700; Moscow, 119992; Buryat Republic, 670000


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