Planar graphs without specific cycles are 2-degenerate

DOI10.1016/j.disc.2021.112488zbMath1467.05046OpenAlexW3171363478MaRDI QIDQ2037563

Wannapol Pimpasalee, Patcharapan Jumnongnit

Publication date: 8 July 2021

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

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112488

zbMATH Keywords

planar graph2-degenerate graphforbidden cycle3-choosability

Mathematics Subject Classification ID

Paths and cycles (05C38) Planar graphs; geometric and topological aspects of graph theory (05C10) Vertex degrees (05C07)

Related Items (2)

Weak degeneracy of planar graphs without 4- and 6-cycles ⋮ A weak DP-partitioning of planar graphs without 4-cycles and 6-cycles

Cites Work

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• Planar graphs without cycles of length 4, 7, 8, or 9 are 3-choosable
• Correspondence coloring and its application to list-coloring planar graphs without cycles of lengths 4 to 8
• Planar graphs without cycles of specific lengths
• Choosability and edge choosability of planar graphs without five cycles
• DP-3-coloring of some planar graphs
• The 3-choosability of plane graphs of girth 4
• 3-list-coloring planar graphs of girth 5
• DP-3-coloring of planar graphs without 4, 9-cycles and cycles of two lengths from \(\{6,7,8\}\)
• DP-4-colorability of planar graphs without adjacent cycles of given length
• A sufficient condition for a planar graph to be 3-choosable
• A note on 3-choosability of planar graphs
• A note on 3-choosability of planar graphs without certain cycles

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