Upper bounds of \(r\)-hued colorings of planar graphs

DOI10.1016/j.dam.2017.12.041zbMath1387.05098OpenAlexW2792621921MaRDI QIDQ1752467

Huimin Song, Hong-Jian Lai

Publication date: 24 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.dam.2017.12.041

zbMATH Keywords

planar graphdynamic chromatic numberdynamic coloring\(r\)-hued coloring\((k, r)\)-coloring\(r\)-hued chromatic number

Mathematics Subject Classification ID

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

Related Items (11)

Wegner's conjecture on 2-distance coloring ⋮ Wegner's conjecture on 2-distance coloring for planar graphs ⋮ Graph \(r\)-hued colorings -- a survey ⋮ The \(r\)-dynamic chromatic number of planar graphs without special short cycles ⋮ On r-hued coloring of product graphs ⋮ The list \(r\)-hued coloring of \(K_{m, n}\) ⋮ \(r\)-hued \((r+1)\)-coloring of planar graphs with girth at least 8 for \(r\geq 9\) ⋮ List \(r\)-dynamic coloring of sparse graphs ⋮ On \(r\)-hued list coloring of \(K_4 ( 7 )\)-minor free graphs ⋮ The \(r\)-dynamic chromatic number of planar graphs without 4-,5-cycles ⋮ The structure and the list 3-dynamic coloring of outer-1-planar graphs

Cites Work

• On \(r\)-hued coloring of \(K_4\)-minor free graphs
• On dynamic coloring for planar graphs and graphs of higher genus
• On \(r\)-hued coloring of planar graphs with girth at least 6
• Complexity of conditional colorability of graphs
• Coloring the square of a \(K_{4}\)-minor free graph
• Dynamic coloring parameters for graphs with given genus
• Dynamic coloring and list dynamic coloring of planar graphs
• Conditional colorings of graphs
• Coloring the square of a planar graph
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