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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., 2011 Volume 18, Issue 3, Pages 3–10 (Mi da649)

This article is cited in 10 papers

Distance regular colorings of the infinite rectangular grid

S. V. Avgustinovichab, A. Yu. Vasil'evaab, I. V. Sergeevab

a S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

Abstract: The parameters of all distance regular colorings of the infinite rectangular grid are listed. Ill. 8, bibliogr. 15.

Keywords: perfect coloring, equitable partition, partition design, completely regular code, infinite rectangular grid.

UDC: 519.8

Received: 26.11.2010
Revised: 05.03.2011


 English version:
Journal of Applied and Industrial Mathematics, 2012, 6:3, 280–285

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© Steklov Math. Inst. of RAS, 2024