A note on list edge and list total coloring of planar graphs without adjacent short cycles

DOI10.1007/S10114-013-2419-2zbMath1283.05112OpenAlexW2069127964MaRDI QIDQ2440495

Jian Liang Wu, Hui-Juan Wang

Publication date: 18 March 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-2419-2

zbMATH Keywords

cyclesplanar graphlist edge coloringlist total coloring

Mathematics Subject Classification ID

Paths and cycles (05C38) Planar graphs; geometric and topological aspects of graph theory (05C10) Coloring of graphs and hypergraphs (05C15)

Related Items (1)

Total colorings-a survey

Cites Work

• Unnamed Item
• On the total choosability of planar graphs and of sparse graphs
• (\( \Delta + 1\))-total choosability of planar graphs with no cycles of length from 4 to \(k\) and without close triangles
• Total choosability of planar graphs with maximum degree 4
• Edge choosability and total choosability of planar graphs with no 3-cycles adjacent 4-cycles
• List edge and list total colorings of planar graphs without 4-cycles
• List edge and list total colorings of planar graphs without short cycles
• Total colorings and list total colorings of planar graphs without intersecting 4-cycles
• List edge and list total colourings of multigraphs
• Choosability, edge choosability and total choosability of outerplane graphs
• List total colorings of planar graphs without triangles at small distance
• Some upper bounds on the total and list chromatic numbers of multigraphs

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