Upper Bounds for the Chromatic Numbers of Euclidean Spaces with Forbidden Ramsey Sets


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Abstract

The chromatic number of a Euclidean space ℝn with a forbidden finite set C of points is the least number of colors required to color the points of this space so that no monochromatic set is congruent to C. New upper bounds for this quantity are found.

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R. I. Prosanov

Lomonosov Moscow State University

Email: info@pleiadesonline.com
Russian Federation, Moscow

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