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Diskretn. Anal. Issled. Oper., 2010, Volume 17, Number 6, Pages 77–95 (Mi da632)  

On perfect colorings of line graphs

D. B. Khoroshilova

Novosibirsk State University, Novosibirsk, Russia

Abstract: The description of all feasible perfect colorings of line graphs, using two colors, is given, and all matrices of parameters of such colorings are listed. In addition, a simple construction that makes it possible to produce perfect colorings of arbitrary line graphs is proposed, and the perfect colorings which can be obtained with the use of the construction in question are characterized. Bibl. 13.

Keywords: perfect coloring, equitable partition, line graph.

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Bibliographic databases:
UDC: 519.1
Received: 10.10.2009
Revised: 25.07.2010

Citation: D. B. Khoroshilova, “On perfect colorings of line graphs”, Diskretn. Anal. Issled. Oper., 17:6 (2010), 77–95

Citation in format AMSBIB
\Bibitem{Kho10}
\by D.~B.~Khoroshilova
\paper On perfect colorings of line graphs
\jour Diskretn. Anal. Issled. Oper.
\yr 2010
\vol 17
\issue 6
\pages 77--95
\mathnet{http://mi.mathnet.ru/da632}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2797618}
\zmath{https://zbmath.org/?q=an:1249.05120}


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