Finding Δ(Σ) for a Surface Σ of Characteristic −4

DOI10.1002/jgt.21997zbMath1354.05051OpenAlexW2982200852MaRDI QIDQ2833122

Rong Luo, Yue Zhao, Zheng-Ke Miao

Publication date: 16 November 2016

Published in: Journal of Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jgt.21997

zbMATH Keywords

surfacescritical graphsedge coloringsclass oneclass two

Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15) Directed graphs (digraphs), tournaments (05C20)

Related Items (3)

Finding \(\Delta (\Sigma)\) for a surface \(\Sigma \) of characteristic \(-6\) and \(-7\) ⋮ The average degree of edge chromatic critical graphs with maximum degree seven ⋮ Upper bounds on the maximum degree of class two graphs on surfaces

Cites Work

• Chromatic index critical graphs of order 9
• Finding the exact bound of the maximum degrees of class two graphs embeddable in a surface of characteristic \(\epsilon \in \{-1, -2, -3\}\)
• On small graphs critical with respect to edge colourings
• Chromatic-index-critical graphs of orders 11 and 12
• Coloring edges of graphs embedded in a surface of characteristic zero.
• Edge colorings of embedded graphs
• Edge colorings of graphs embeddable in a surface of low genus
• Planar graphs of maximum degree seven are Class I
• The chromatic class and the location of a graph on a closed surface
• Chromatic-index-critical graphs of orders 13 and 14
• Finding Δ(Σ) for a surface σ of characteristic χ(Σ) = −5
• The size of edge chromatic critical graphs with maximum degree 6
• SOME UNSOLVED PROBLEMS IN GRAPH THEORY
• Every planar graph with maximum degree 7 is of class 1

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