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The number of \(k\)-colorings of a graph on a fixed surface

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Publication:856865
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DOI10.1016/j.disc.2005.04.027zbMath1200.05090OpenAlexW2047109885WikidataQ56926684 ScholiaQ56926684MaRDI QIDQ856865

Carsten Thomassen

Publication date: 14 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.disc.2005.04.027


zbMATH Keywords

chromatic polynomialgraphs on surfaces


Mathematics Subject Classification ID

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


Related Items

Hyperbolic families and coloring graphs on surfaces ⋮ The number of colorings of planar graphs with no separating triangles ⋮ Many 3-colorings of triangle-free planar graphs ⋮ Exponentially many 5-list-colorings of planar graphs



Cites Work

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  • Five-coloring graphs on the torus
  • Every planar graph is 5-choosable
  • Color-critical graphs on a fixed surface
  • Chromatic Polynomials


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