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Diskretnyi Analiz i Issledovanie Operatsii, 2015, Volume 22, Issue 2, Pages 63–72
DOI: https://doi.org/10.17377/daio.2015.22.454 (Mi da813) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On interval $(1,1)$-coloring of incidentors of interval colorable graphs

A. V. Pyatkinab

a Sobolev Institute of Mathematics, 4 Koptyug Ave., 630090 Novosibirsk, Russia
b Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
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DOI: https://doi.org/10.17377/daio.2015.22.454
Abstract: A graph is interval colorable if it has a proper edge coloring such that for every vertex the colors used for coloring edges adjacent to it form an interval. A subdivision of a graph is a graph obtained by substituting a path of length two for each edge. P. Petrosyan and H. Khachatrian posed a conjecture that the subdivision of each interval colorable graph is interval colorable. In this paper, we prove this conjecture. Bibliogr. 19.
Keywords: interval coloring, incidentor, graph subdivision.
Received: 02.06.2014
Revised: 24.11.2014
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 2, Pages 271–274
DOI: https://doi.org/10.1134/S199047891502012X
Bibliographic databases:
Document Type: Article
UDC: 519.174
Language: Russian
Citation: A. V. Pyatkin, “On interval $(1,1)$-coloring of incidentors of interval colorable graphs”, Diskretn. Anal. Issled. Oper., 22:2 (2015), 63–72; J. Appl. Industr. Math., 9:2 (2015), 271–274
Citation in format AMSBIB
\Bibitem{Pya15}
\by A.~V.~Pyatkin
\paper On interval $(1,1)$-coloring of incidentors of interval colorable graphs
\jour Diskretn. Anal. Issled. Oper.
\yr 2015
\vol 22
\issue 2
\pages 63--72
\mathnet{http://mi.mathnet.ru/da813}
\crossref{https://doi.org/10.17377/daio.2015.22.454}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3444478}
\elib{https://elibrary.ru/item.asp?id=23134007}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 2
\pages 271--274
\crossref{https://doi.org/10.1134/S199047891502012X}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретный анализ и исследование операций
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    References:63
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