|
|
Problemy Peredachi Informatsii, 2016, Volume 52, Issue 4, Pages 64–83
(Mi ppi2222)
|
|
|
|
This article is cited in 6 scientific papers (total in 6 papers)
Large Systems
On chromatic numbers of close-to-Kneser distance graphs
A. V. Bobu, A. E. Kupriyanov Department of Mathematical Statistics and Random Processes,
Faculty of Mathematics and Mechanics, Lomonosov Moscow State University, Moscow, Russia
Abstract:
We study a family of distance graphs whose structure is close to that of Kneser graphs. We give new lower and upper bounds on the chromatic numbers of such graphs and consider the question of their interrelation. We also describe the structure of some important independence sets for this family of graphs and explicitly compute their cardinalities.
Received: 04.02.2016 Revised: 14.05.2016
Citation:
A. V. Bobu, A. E. Kupriyanov, “On chromatic numbers of close-to-Kneser distance graphs”, Probl. Peredachi Inf., 52:4 (2016), 64–83; Problems Inform. Transmission, 52:4 (2016), 373–390
Linking options:
https://www.mathnet.ru/eng/ppi2222 https://www.mathnet.ru/eng/ppi/v52/i4/p64
|
|