Every planar graph G without cycles of lengths 4 to 8 is C-colorable for every 3-correspondence assignment C that is consistent on every closed walk of length 3 ...
Aug 14, 2015 · Using this tool, we prove that excluding cycles of lengths 4 to 8 is sufficient to guarantee 3-choosability of a planar graph, thus answering a ...
This paper shows that planar graphs without 4-cycles adjacent to triangles are DP-4-colorable, which implies the two results above.
Using this tool, we prove that excluding cycles of lengths 4 to 8 is sufficient to guarantee 3-choosability of a planar graph, thus answering a question of ...
Oct 8, 2016 · Using this tool, we prove that excluding cycles of lengths 4 to 8 is sufficient to guarantee 3- choosability of a planar graph, thus answering a ...
Using this tool, we prove that excluding cycles of lengths 4 to 8 is sufficient to guarantee 3-choosability of a planar graph, thus answering a question of ...
Postle, Correspondence coloring and its application to list-coloring planar graphs without cycles of length 4 to 8, J. Combin. Theory Ser. B, 129 (2018) ...
The well-known Steinberg's conjecture postulates that every planar graph without 4-cycles and 5-cycles is 3-colorable. The list-coloring version of this ...
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Postle: Correspondence coloring and its application to list-coloring planar graphs without cycles of lengths 4 to 8, Journal of Combinatorial Theory, Series ...
Jul 15, 2021 · In this paper, we show that every planar graph with neither adjacent triangles nor 5-, 6-, 9-cycles is DP-3-colorable, which generalizes these results.