Locally planar graphs are 5-choosable
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Publication:958683
DOI10.1016/j.jctb.2008.01.003zbMath1187.05030OpenAlexW2045237424MaRDI QIDQ958683
Matt DeVos, Ken-ichi Kawarabayashi, Bojan Mohar
Publication date: 8 December 2008
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jctb.2008.01.003
Planar graphs; geometric and topological aspects of graph theory (05C10) Coloring of graphs and hypergraphs (05C15)
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Cites Work
- Unnamed Item
- List colourings of planar graphs
- Graph minors. VII: Disjoint paths on a surface
- The complexity of planar graph choosability
- Five-coloring maps on surfaces
- Coloring graphs without short non-bounding cycles
- Every planar graph is 5-choosable
- The four-colour theorem
- Color-critical graphs on a fixed surface
- The chromatic number of a graph of girth 5 on a fixed surface
- Graph minors. XIII: The disjoint paths problem
- Graph Theory and Probability
- Every Planar Map is Four Colorable
- Graph colorings with local constraints -- a survey
- Dirac's map-color theorem for choosability