Geodesic
Induced perfect colorings
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 310-316.

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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. 
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S. V. Avgustinovich; I. Yu. Mogil'nykh. Induced perfect colorings. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 310-316. http://geodesic.mathdoc.fr/item/SEMR_2011_8_a25/

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