On the Chromatic Numbers of R2 and R3 with an Intervalof Forbidden Distances

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Abstract

In this article there defined one of generalization of classical notion of chromatic number of a plane or a space defined, that is chromatic number with an interval of forbidden distances. Some upper bounds are obtained for this value with different intervals and the method of finding these results are described.

About the authors

L L Ivanov

Peoples Friendship University of Russia

Email: l.ivanov@mail.ru
Факультет физико-математических и естественных наук; Российский университет дружбы народов; Peoples Friendship University of Russia

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Copyright (c) 2011 Иванов Л.Л.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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