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

Voir la notice de l'article provenant de la source Math-Net.Ru

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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     author = {S. V. Avgustinovich and I. Yu. Mogil'nykh},
     title = {Induced perfect colorings},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {310--316},
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     volume = {8},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2011_8_a25/}
}
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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/