On the chromatic numbers of low-dimensional spaces
- Authors: Cherkashin D.D.1,2,3, Raigorodskii A.M.2,4,5
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Affiliations:
- St. Petersburg State University
- Moscow Institute of Physics and Technology (State University)
- Université de Genève
- Faculty of Mechanics and Mathematics
- Institute of Mathematics and Informatics
- Issue: Vol 95, No 1 (2017)
- Pages: 5-6
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224684
- DOI: https://doi.org/10.1134/S106456241701001X
- ID: 224684
Cite item
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