On the chromatic number of a space with a forbidden regular simplex
- Authors: Raigorodskii A.M.1,2,3, Sagdeev A.A.2
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Affiliations:
- Moscow Institute of Physics and Technology (State University)
- Faculty of Mechanics and Mathematics
- Institute of Mathematics and Informatics
- Issue: Vol 95, No 1 (2017)
- Pages: 15-16
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224698
- DOI: https://doi.org/10.1134/S1064562417010082
- ID: 224698
Cite item
Abstract
Explicit exponential lower bounds for the chromatic numbers of spaces with forbidden monochromatic regular simplexes are found for the first time.
About the authors
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
A. A. Sagdeev
Faculty of Mechanics and Mathematics
Email: mraigor@yandex.ru
Russian Federation, Moscow, 119992