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Diskretnyi Analiz i Issledovanie Operatsii, 2017, Volume 24, Issue 4, Pages 34–46
DOI: https://doi.org/10.17377/daio.2017.24.572
(Mi da880)
 

On $(1,l)$-coloring of incidentors of multigraphs

M. O. Golovacheva, A. V. Pyatkinba

a Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
b Sobolev Institute of Mathematics, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
References:
Abstract: It is proved that if $l$ is at least $\Delta/2-1$ then $(1,l)$-chromatic number of an arbitrary multigraph of maximum degree $\Delta$ is at most $\Delta+1$. Moreover, it is proved that the incidentors of every directed prism can be colored in four colors so that every two adjacent incidentors are colored distinctly and the difference between the colors of the final and initial incidentors of each arc is $1$. Illustr. 1, bibliogr. 10.
Keywords: incidentor coloring, $(1,l)$-coloring, prism.
Received: 22.03.2017
Revised: 10.04.2017
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 4, Pages 514–520
DOI: https://doi.org/10.1134/S1990478917040081
Bibliographic databases:
Document Type: Article
UDC: 519.174
Language: Russian
Citation: M. O. Golovachev, A. V. Pyatkin, “On $(1,l)$-coloring of incidentors of multigraphs”, Diskretn. Anal. Issled. Oper., 24:4 (2017), 34–46; J. Appl. Industr. Math., 11:4 (2017), 514–520
Citation in format AMSBIB
\Bibitem{GolPya17}
\by M.~O.~Golovachev, A.~V.~Pyatkin
\paper On $(1,l)$-coloring of incidentors of multigraphs
\jour Diskretn. Anal. Issled. Oper.
\yr 2017
\vol 24
\issue 4
\pages 34--46
\mathnet{http://mi.mathnet.ru/da880}
\crossref{https://doi.org/10.17377/daio.2017.24.572}
\elib{https://elibrary.ru/item.asp?id=30551364}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 4
\pages 514--520
\crossref{https://doi.org/10.1134/S1990478917040081}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85036472429}
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