This article is cited in 2 papers

Refinement of Lower Bounds of the Chromatic Number of a Space with Forbidden One-Color Triangles

A. V. Bobu, A. E. Kupriyanov

Lomonosov Moscow State University

Abstract: The present paper deals with estimates of the chromatic number of a space with forbidden one-color triangles. New lower bounds for the quantity under study, which are sharper than all bounds obtained so far, are presented.

Keywords: Nelson–Erdős–Hadwiger problem, chromatic number of a space with forbidden one-color triangles, linear-algebraic method.

UDC: 519.174.7

Received: 02.12.2017
Revised: 30.03.2018

DOI: 10.4213/mzm11875

 English version: Mathematical Notes, 2019, 105:3, 329–341

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