The chromatic class and the location of a graph on a closed surface

DOI10.1007/BF01093595zbMath0211.56602OpenAlexW2069311964MaRDI QIDQ2544362

Leonid S. Mel'nikov

Publication date: 1970

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01093595

Mathematics Subject Classification ID

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

Related Items (11)

Finding \(\Delta (\Sigma)\) for a surface \(\Sigma \) of characteristic \(-6\) and \(-7\) ⋮ Coloring edges of graphs embedded in a surface of characteristic zero. ⋮ Edge coloring of graphs with small average degrees ⋮ On graphs critical with respect to edge-colourings ⋮ Finding the exact bound of the maximum degrees of class two graphs embeddable in a surface of characteristic \(\epsilon \in \{-1, -2, -3\}\) ⋮ List-edge and list-total colorings of graphs embedded on hyperbolic surfaces ⋮ Upper bounds on the maximum degree of class two graphs on surfaces ⋮ A bibliographic survey of edge‐colorings ⋮ Finding Δ(Σ) for a Surface Σ of Characteristic −4 ⋮ A seven-color theorem on the sphere ⋮ Edge colorings of graphs embeddable in a surface of low genus

Cites Work

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• The genus of 𝐾_{𝑛},𝑛=12(2^{𝑚})
• The genus of 𝐾_{𝑛},𝑛=12𝑠
• The genus of K12s
• Orientable embedding of Cayley graphs

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