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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2024, Volume 21, Issue 1, Pages 188–195
DOI: https://doi.org/doi.org/10.33048/semi.2024.21.013 (Mi semr1676) 		 
Discrete mathematics and mathematical cybernetics

The perfect colorings of circulant graphs with a large number of colors

M. A. Lisitsynaa, S. V. Avgustinovichb

a Mozhaisky Military Space Academy, Zhdanovskaya, 13, 197198, St Petersburg, Russia
b Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
Full-text PDF (433 kB)
DOI: https://doi.org/doi.org/10.33048/semi.2024.21.013
Abstract: An infinite circulant graph with a continuous set of distances is a graph, whose set of vertices is the set of integers, and two vertices $i$ and $j$ are adjacent if $|i-j| \in \{1,2,…,n\}$. We study perfect colorings of such graph with $k$ colors for $k$ at least $3n+3$. A complete description of them is obtained.
Keywords: perfect coloring, infinite circulant graph, $k$-motley fragment.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0018
Received November 24, 2023, published February 28, 2024
Document Type: Article
UDC: 519.174.7
MSC: 05C50
Language: Russian
Citation: M. A. Lisitsyna, S. V. Avgustinovich, “The perfect colorings of circulant graphs with a large number of colors”, Sib. Èlektron. Mat. Izv., 21:1 (2024), 188–195
Citation in format AMSBIB
\Bibitem{LisAvg24}
\by M.~A.~Lisitsyna, S.~V.~Avgustinovich
\paper The perfect colorings of circulant graphs with a large number of colors
\jour Sib. \`Elektron. Mat. Izv.
\yr 2024
\vol 21
\issue 1
\pages 188--195
\mathnet{http://mi.mathnet.ru/semr1676}
\crossref{https://doi.org/doi.org/10.33048/semi.2024.21.013}
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