Acyclic 4-choosability of planar graphs

DOI10.1016/j.disc.2010.10.003zbMath1216.05028OpenAlexW2135712428MaRDI QIDQ616366

Min Chen, Nicolas Roussel, Xuding Zhu, Andre Raspaud

Publication date: 7 January 2011

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2010.10.003

zbMATH Keywords

cycleplanar graphchoosabilityacyclic coloringacyclic choosability

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Coloring of graphs and hypergraphs (05C15)

Related Items (12)

A sufficient condition for planar graphs to be acyclically 5-choosable ⋮ Choosability with union separation of planar graphs without cycles of length 4 ⋮ Acyclic coloring of graphs without bichromatic long path ⋮ Acyclic 4-choosability of planar graphs without intersecting short cycles ⋮ Planar graphs without 4- and 5-cycles are acyclically 4-choosable ⋮ Acyclic 6-choosability of planar graphs without adjacent short cycles ⋮ Acyclic 4-choosability of planar graphs without 4-cycles ⋮ On acyclic 4-choosability of planar graphs without short cycles ⋮ On acyclic 4-choosability of planar graphs without cycles of length 4, 7 and 9 ⋮ Unnamed Item ⋮ Acyclic 6-choosability of planar graphs without 5-cycles and adjacent 4-cycles ⋮ Coloring graphs without bichromatic cycles or paths

Cites Work

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• Note to the paper of Grünbaum on acyclic colorings
• Every planar graph has an acyclic 7-coloring
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• Acyclic 5-choosability of planar graphs without small cycles
• Planar graphs without 4-cycles are acyclically 6-choosable
• Acyclic Colourings of Planar Graphs with Large Girth
• Acyclic list 7‐coloring of planar graphs
• Acyclic 5-choosability of planar graphs without 4-cycles
• Acyclic colorings of planar graphs

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