Exponentially Ramsey Sets
- Authors: Sagdeev A.A.1
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Affiliations:
- Laboratory of Advanced Combinatorics and Network Applications
- Issue: Vol 54, No 4 (2018)
- Pages: 372-396
- Section: Large Systems
- URL: https://journal-vniispk.ru/0032-9460/article/view/166566
- DOI: https://doi.org/10.1134/S0032946018040051
- ID: 166566
Cite item
Abstract
We study chromatic numbers of spaces \(\mathbb{R}_p^n=(\mathbb{R}^n, \ell_p)\) with forbidden monochromatic sets. For some sets, we for the first time obtain explicit exponentially growing lower bounds for the corresponding chromatic numbers; for some others, we substantially improve previously known bounds.
About the authors
A. A. Sagdeev
Laboratory of Advanced Combinatorics and Network Applications
Author for correspondence.
Email: xp1@protonmail.com
Russian Federation, Moscow
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