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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 1116–1128
DOI: https://doi.org/10.17377/semi.2016.13.088 (Mi semr738) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Discrete mathematics and mathematical cybernetics

Perfect colorings of the prism graph

M. A. Lisitsynaa, S. V. Avgustinovichb

a Budyonny Military Academy of Telecommunications, Tikhoretsky pr., 3, 194064, St. Petersburg, Russia
b Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.088
Abstract: The cartesian product of an infinite chain by an edge is termed the infinite prism graph. A complete description of perfect colorings is obtained for prism graph. Bipartition of mentioned graph was used essentially by researchers. It's easy to adapt all results to finite case — finite prism graph and Mobius ladder.
Keywords: prism graph, Mobius ladder, perfect coloring, equitable partition, bipartite graph, induced coloring.
Received July 13, 2016, published December 8, 2016
Bibliographic databases:
Document Type: Article
UDC: 519.174.7
MSC: 05C50
Language: Russian
Citation: M. A. Lisitsyna, S. V. Avgustinovich, “Perfect colorings of the prism graph”, Sib. Èlektron. Mat. Izv., 13 (2016), 1116–1128
Citation in format AMSBIB
\Bibitem{LisAvg16}
\by M.~A.~Lisitsyna, S.~V.~Avgustinovich
\paper Perfect colorings of the prism graph
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 1116--1128
\mathnet{http://mi.mathnet.ru/semr738}
\crossref{https://doi.org/10.17377/semi.2016.13.088}
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