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A new proof of Melnikov's conjecture on the edge-face coloring of plane graphs

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Publication:1613521
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DOI10.1016/S0012-365X(01)00451-4zbMath1005.05020WikidataQ123016908 ScholiaQ123016908MaRDI QIDQ1613521

Ko-Wei Lih, Wei Fan Wang

Publication date: 29 August 2002

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


zbMATH Keywords

chromatic index


Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15)


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The edge-face choosability of plane graphs ⋮ Vertex-pancyclicity of edge-face-total graphs ⋮ Facial edge-face coloring of \(K_4\)-minor-free graphs ⋮ Facial entire colouring of plane graphs ⋮ Entire colouring of plane graphs ⋮ The edge-face choosability of plane graphs with maximum degree at least 9 ⋮ Entire coloring of graphs embedded in a surface of nonnegative characteristic ⋮ Edge-face list coloring of Halin graphs ⋮ Plane graphs with maximum degree 6 are edge-face 8-colorable ⋮ The edge-face coloring of graphs embedded in a surface of characteristic zero



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