On the chromatic number of a space with a forbidden regular simplex


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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


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