Chromatic Numbers of Distance Graphs with Several Forbidden Distances and without Cliques of a Given Size


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We consider distance graphs with k forbidden distances in an n-dimensional space with the p-norm that do not contain cliques of a fixed size. Using a probabilistic construction, we present graphs of this kind with chromatic number at least (Bk)Cn, where B and C are constants.

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A. Berdnikov

Moscow Institute of Physics and Technology (State University)

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Email: alexey-berdnikov@yandex.ru
俄罗斯联邦, Moscow

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