On the ruegularity of perfect 2-colorings of the Johnson graph

被引:5
作者
Mogil'nykh, I. Yu [1 ]
机构
[1] Novosibirsk State Univ, RAS, Siberian Branch, Sobolev Inst Math, Novosibirsk 630090, Russia
关键词
D O I
10.1134/S0032946007040035
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We study perfect colorings of the Johnson graph in two colors. We give sufficient conditions for a perfect coloring of the Johnson graph to be k-regular and present examples of perfect colorings. The proof of the theorem is in many respects similar to the proof of the result by Etzion and Schwartz [1] on k-regularity of perfect codes.
引用
收藏
页码:303 / 309
页数:7
相关论文
共 7 条
[1]   On perfect codes and related concepts [J].
Ahlswede, R ;
Aydinian, HK ;
Khachatrian, LH .
DESIGNS CODES AND CRYPTOGRAPHY, 2001, 22 (03) :221-237
[2]  
[Anonymous], PHILIPS RES REP S
[3]   Perfect constant-weight codes [J].
Etzion, T ;
Schwartz, M .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2004, 50 (09) :2156-2165
[4]  
FONDERFLAASS DG, P 985 AMS M IND U BL, P31
[5]   Perfect single error-correcting codes in the Johnson scheme [J].
Gordon, Daniel M. .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (10) :4670-4672
[6]  
MARTIN WJ, 1988, J COMB DES, V6, P261
[7]   On new completely regular q-ary codes [J].
Zinoviev, V. A. ;
Rifa, J. .
PROBLEMS OF INFORMATION TRANSMISSION, 2007, 43 (02) :97-112