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Polynomial bounds for chromatic number. IV: A near-polynomial bound for excluding the five-vertex path

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Publication:6081401
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DOI10.1007/S00493-023-00015-WarXiv2110.00278OpenAlexW3204767113MaRDI QIDQ6081401

P. D. Seymour, Alexander D. Scott, Sophie Spirkl

Publication date: 4 October 2023

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.00278


zbMATH Keywords

induced subgraphschromatic number\(P_5\)-free graph


Mathematics Subject Classification ID

Graph polynomials (05C31) Coloring of graphs and hypergraphs (05C15)


Related Items (6)

Coloring of some crown-free graphs ⋮ On the chromatic number of \(P_5\)-free graphs with no large intersecting cliques ⋮ A note on the Gyárfás-Sumner conjecture ⋮ Divisibility and coloring of some \(P_5\)-free graphs ⋮ Towards the Erdős-Hajnal conjecture for \(P_5\)-free graphs ⋮ Polynomial bounds for chromatic number. V: Excluding a tree of radius two and a complete multipartite graph







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