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An Analogue of DP-Coloring for Variable Degeneracy and its Applications

A graph G is list vertex k-arborable if for every k-assignment L, one can choose f(v) ∈ L(v) for each vertex v so that vertices with the same color induce a forest. In [6], Borodin and Ivanova proved that every planar graph without 4-cycles adjacent to 3-cycles is list vertex 2-arborable. In fact, t...

Ausführliche Beschreibung

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Bibliografische Detailangaben
Hauptverfasser: Sittitrai Pongpat, Nakprasit Kittikorn
Format: Artigo
Sprache:Inglês
Veröffentlicht: University of Zielona Góra 2022-02-01
Schriftenreihe:Discussiones Mathematicae Graph Theory
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Online-Zugang:https://doi.org/10.7151/dmgt.2238
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