Coloring Graphs without Short Cycles and Long Induced Paths

DOI10.1007/978-3-642-22953-4_17zbMath1342.05039OpenAlexW264442127MaRDI QIDQ3088283

Daniël Paulusma, Jian Song, Petr A. Golovach

Publication date: 19 August 2011

Published in: Fundamentals of Computation Theory (Search for Journal in Brave)

Full work available at URL: http://dro.dur.ac.uk/14121/1/14121.pdf

Mathematics Subject Classification ID

Paths and cycles (05C38) Coloring of graphs and hypergraphs (05C15) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17)

Related Items (3)

4-Coloring H-Free Graphs When H Is Small ⋮ List coloring in the absence of two subgraphs ⋮ The coloring problem for classes with two small obstructions

Cites Work

• Determining the chromatic number of triangle-free \(2P_3\)-free graphs in polynomial time
• Updating the complexity status of coloring graphs without a fixed induced linear forest
• Deciding \(k\)-colorability of \(P_5\)-free graphs in polynomial time
• On the NP-completeness of the \(k\)-colorability problem for triangle-free graphs
• 3-colorability \(\in \mathcal P\) for \(P_{6}\)-free graphs.
• Triangle-free graphs and forbidden subgraphs
• Vertex colouring and forbidden subgraphs -- a survey
• Colouring Vertices of Triangle-Free Graphs
• List Coloring in the Absence of a Linear Forest
• Three Complexity Results on Coloring P k -Free Graphs
• The NP-Completeness of Edge-Coloring
• Graph colorings with local constraints -- a survey
• The complexity of satisfiability problems
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