Acyclic 5-choosability of planar graphs with neither 4-cycles nor chordal 6-cycles

DOI10.1016/j.disc.2009.05.018zbMath1204.05049OpenAlexW2067075340MaRDI QIDQ1045104

Haihui Zhang, Bao-Gang Xu

Publication date: 15 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2009.05.018

zbMATH Keywords

cycleplanar graphacyclical choosability

Mathematics Subject Classification ID

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

Related Items (15)

A sufficient condition for planar graphs to be acyclically 5-choosable ⋮ Acyclic 5-choosability of planar graphs without adjacent short cycles ⋮ Acyclic 4-choosability of planar graphs ⋮ 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 ⋮ Acyclic 5-choosability of planar graphs without 4-cycles ⋮ Acyclic 4‐Choosability of Planar Graphs with No 4‐ and 5‐Cycles ⋮ What is on his mind? ⋮ Acyclic 4-choosability of planar graphs with neither 4-cycles nor triangular 6-cycles ⋮ Acyclic 4-choosability of planar graphs without adjacent short cycles ⋮ On acyclic 4-choosability of planar graphs without short cycles ⋮ A polyhedral study of the acyclic coloring problem ⋮ On acyclic 4-choosability of planar graphs without cycles of length 4, 7 and 9

Cites Work

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• Note to the paper of Grünbaum on acyclic colorings
• Every planar graph has an acyclic 7-coloring
• On acyclic colorings of planar graphs
• Every planar graph is 5-choosable
• Every planar graph has an acyclic 8-coloring
• Acyclic 5-choosability of planar graphs without small cycles
• Acyclic Colourings of Planar Graphs with Large Girth
• Acyclic list 7‐coloring of planar graphs
• On the acyclic choosability of graphs
• Acyclic 5-choosability of planar graphs without 4-cycles
• Acyclic colorings of planar graphs

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