On chromatic numbers of nearly Kneser distance graphs


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A family of distance graphs whose structure is close to that of Kneser graphs is studied. New lower and upper bounds for the chromatic numbers of such graphs are obtained, and relations between these numbers are considered. The structure of certain important independent sets of the family of graphs under consideration is described, and the cardinalities of these sets are explicitly calculated.

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A. Bobu

Mechanics and Mathematics Faculty

编辑信件的主要联系方式.
Email: a.v.bobu@gmail.com
俄罗斯联邦, Moscow, 119991

A. Kupriyanov

Mechanics and Mathematics Faculty

Email: a.v.bobu@gmail.com
俄罗斯联邦, Moscow, 119991

A. Raigorodskii

Mechanics and Mathematics Faculty; Moscow Institute of Physics and Technology (State University); Institute of Mathematics and Computer Science

Email: a.v.bobu@gmail.com
俄罗斯联邦, Moscow, 119991; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700; ul. Ranzhurova 5a, Ulan-Ude, 670000

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