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Diskretn. Anal. Issled. Oper., Ser. 1, 2006, Volume 13, Number 4, Pages 18–25 (Mi da8)  

This article is cited in 3 scientific papers (total in 3 papers)

On bounds for the incidentor chromatic number of a directed weighted multigraph

V. G. Vizing


Abstract: An incidentor coloring of a directed weighted multigraph is called admissible if: (a) the incidentors adjoining the same vertex are colored by different colors; (b) the difference between the colors of the final and initial incidentors of each arc is at least the weight of this arc. The minimum number of colors necessary for an admissible coloring of all incidentors of a multigraph $G$ is bounded above and below. The upper and lower bounds differ by $\lceil\Delta/2\rceil$ where $\Delta$ is the degree of $G$.

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English version:
Journal of Applied and Industrial Mathematics, 2007, 1:4, 504–508

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Citation: V. G. Vizing, “On bounds for the incidentor chromatic number of a directed weighted multigraph”, Diskretn. Anal. Issled. Oper., Ser. 1, 13:4 (2006), 18–25; J. Appl. Industr. Math., 1:4 (2007), 504–508

Citation in format AMSBIB
\Bibitem{Viz06}
\by V.~G.~Vizing
\paper On bounds for the incidentor chromatic number of a~directed weighted multigraph
\jour Diskretn. Anal. Issled. Oper., Ser.~1
\yr 2006
\vol 13
\issue 4
\pages 18--25
\mathnet{http://mi.mathnet.ru/da8}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2289375}
\zmath{https://zbmath.org/?q=an:1249.05144}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 4
\pages 504--508
\crossref{https://doi.org/10.1134/S1990478907040138}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-37249063602}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. J. Appl. Industr. Math., 2:3 (2008), 432–439  mathnet  crossref  mathscinet  zmath
    2. J. Appl. Industr. Math., 2:4 (2008), 560–565  mathnet  crossref  mathscinet  zmath
    3. V. G. Vizing, “On multicoloring of incidentors of a weighted oriented multigraph”, J. Appl. Industr. Math., 8:4 (2014), 604–608  mathnet  crossref  mathscinet
  • Дискретный анализ и исследование операций
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