Volume 18, No 3, 2011, P. 3-10
UDC 519.8
S. V. Avgustinovich, A. J. Vasil’eva, I. V. Sergeeva
Distance regular colorings of the infinite rectangular grid
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.
Avgustinovich Sergey Vladimirovich 1,2
Vasil’eva Anastasia Yur’evna 1,2
Sergeeva Irina Vladimirovna 2
1. S. L. Sobolev Institute of Mathematics, SB RAS,
4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
2.
Novosibirsk State University,
2 Pirogov St., 630090 Novosibirsk, Russia
e-mail: avgust@math.nsc.ru, vasilan@math.nsc.ru, for.iriss@gmail.com
