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Matematicheskie Trudy, 2018, Volume 21, Number 2, Pages 61–71
DOI: https://doi.org/10.17377/mattrudy.2018.21.202 (Mi mt338) 		 
This article is cited in 14 scientific papers (total in 14 papers)

On differences between DP-coloring and list coloring

A. Yu. Bernshteyna, A. V. Kostochkaab

a University of Illinois at Urbana-Champaign, Urbana, IL, USA
b Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia
Full-text PDF (258 kB) Citations (14)
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DOI: https://doi.org/10.17377/mattrudy.2018.21.202
Abstract: DP-Coloring (also known as correspondence coloring) is a generalization of list coloring introduced recently by Dvořák and Postle [12]. Many known upper bounds for the list-chromatic number extend to the DP-chromatic number, but not all of them do. In this note we describe some properties of DP-coloring that set it aside from list coloring. In particular, we give an example of a planar bipartite graph with DP-chromatic number $4$ and prove that the edge-DP-chromatic number of a $d$-regular graph with $d\geq2$ is always at least $d+1$.
Key words: list coloring of a graph, edge coloring, DP-coloring of a graph.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00353_a
16-01-00499_a
National Science Foundation DMS-1600592
The work of the first author was partially supported by the Illinois Distinguished Fellowship. The work of the second author was partially supported by the Russian Foundation for Basic Research (projects 18-01-00353 and 16-01-00499) and by the National Science Foundation (project DMS-1600592).
Received: 18.12.2017
English version:
Siberian Advances in Mathematics, 2019, Volume 29, Pages 183–189
DOI: https://doi.org/10.3103/S1055134419030039
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: A. Yu. Bernshteyn, A. V. Kostochka, “On differences between DP-coloring and list coloring”, Mat. Tr., 21:2 (2018), 61–71; Siberian Adv. Math., 29 (2019), 183–189
Citation in format AMSBIB
\Bibitem{BerKos18}
\by A.~Yu.~Bernshteyn, A.~V.~Kostochka
\paper On differences between DP-coloring and list coloring
\jour Mat. Tr.
\yr 2018
\vol 21
\issue 2
\pages 61--71
\mathnet{http://mi.mathnet.ru/mt338}
\crossref{https://doi.org/10.17377/mattrudy.2018.21.202}
\transl
\jour Siberian Adv. Math.
\yr 2019
\vol 29
\pages 183--189
\crossref{https://doi.org/10.3103/S1055134419030039}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85071428401}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Full-text PDF :137
    References:42
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