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

Upper Bounds for the Chromatic Numbers of Euclidean Spaces with Forbidden Ramsey Sets The chromatic number of a Euclidean space ℝ n 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematical Notes Springer Journals

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

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Pleiades Publishing, Ltd.
Subject
Mathematics; Mathematics, general
ISSN
0001-4346
eISSN
1573-8876
D.O.I.
10.1134/S000143461801025X
Publisher site
See Article on Publisher Site

Abstract

The chromatic number of a Euclidean space ℝ n 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.

Journal

Mathematical NotesSpringer Journals

Published: Mar 14, 2018

References

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