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On the chromatic numbers of low-dimensional spaces |
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| Authors: | D D Cherkashin A M Raigorodskii |
| Institution: | 1.St. Petersburg State University,St. Petersburg,Russia;2.Moscow Institute of Physics and Technology (State University),Dolgoprudnyi, Moscow oblast,Russia;3.Université de Genève,Genève,Switzerland;4.Faculty of Mechanics and Mathematics,Moscow State University,Moscow,Russia;5.Institute of Mathematics and Informatics,Buryat State University, Ulan-Ude,Buryat Republic,Russia |
| 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. |
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