On Perfect 2‐Colorings of Johnson Graphs J(v, 3) |
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| Authors: | Alexander L. Gavrilyuk Sergey V. Goryainov |
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| Affiliation: | 1. Institute of Mathematics and Mechanics, , Yekaterinburg, 620990 Russia;2. Ural Federal University, , Yekaterinburg, 620990 Russia;3. Chelyabinsk State University, , Chelyabinsk, 454000 Russia |
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| Abstract: | We study the perfect 2‐colorings (also known as the equitable partitions into two parts or the completely regular codes with covering radius 1) of the Johnson graphs  . In particular, we classify all the realizable quotient matrices of perfect 2‐colorings for odd v. © 2012 Wiley Periodicals, Inc. J. Combin. Designs 21: 232–252, 2013 |
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| Keywords: | equitable partition perfect coloring completely regular code Johnson graph distance‐regular graph |
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