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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 310–316 (Mi semr326)  
This article is cited in 4 scientific papers (total in 4 papers)

Induced perfect colorings

S. V. Avgustinovich, I. Yu. Mogil'nykh

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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Abstract: We introduce the operator that maps an eigenspace of a halved graph of a distance-2 biregular graph to an eigenspace of the second halved graph. Using the introduced notion, we show that Steiner triple and Steiner quadruple systems give new infinite series of perfect 2-colorings of the Johnson graphs $J(n,4)$ and $J(n,5)$.
Keywords: distance-biregular graphs, graph spectra, perfect colorings.
Received July 7, 2011, published October 17, 2011
Document Type: Article
UDC: 519.17
MSC: 05C50
Language: English
Citation: S. V. Avgustinovich, I. Yu. Mogil'nykh, “Induced perfect colorings”, Sib. Èlektron. Mat. Izv., 8 (2011), 310–316
Citation in format AMSBIB
\Bibitem{AvgMog11}
\by S.~V.~Avgustinovich, I.~Yu.~Mogil'nykh
\paper Induced perfect colorings
\jour Sib. \`Elektron. Mat. Izv.
\yr 2011
\vol 8
\pages 310--316
\mathnet{http://mi.mathnet.ru/semr326}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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