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k-Chromatic Number of Graphs on Surfaces

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Publication:5189531
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DOI10.1137/070688262zbMATH Open1200.05079OpenAlexW2033247133MaRDI QIDQ5189531

Riste Škrekovski, Zdeněk Dvořák

Publication date: 17 March 2010

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

Full work available at URL: https://doi.org/10.1137/070688262



zbMATH Keywords

chromatic numberEuler's formulagraph embeddings


Mathematics Subject Classification ID

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



Related Items (6)

A lower bound for the one-chromatic number of a surface ⋮ (1,k)-Coloring of Graphs with Girth at Least Five on a Surface ⋮ The bounded chromatic number for graphs of genus \(g\) ⋮ Estimating the minimal number of colors in acyclic \(k\)-strong colorings of maps on surfaces ⋮ The distinguishing numbers of graphs on closed surfaces ⋮ Acyclic \(k\)-strong coloring of maps on surfaces






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