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math.CO 1

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2024 1

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CONDITIONAL 1

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Coloring of some $(P_2\cup P_4)$-free graphs

math.CO · 2024-12-19 · conditional · novelty 6.0

For (P2∪P4, gem)-free, (P2∪P4, butterfly)-free, and (P2∪P4, diamond)-free graphs, the paper establishes explicit χ-binding functions, and shows (P2∪P4, diamond, C5)-free graphs with clique number at least 5 are perfect.

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  • Coloring of some $(P_2\cup P_4)$-free graphs math.CO · 2024-12-19 · conditional · none · ref 2

    For (P2∪P4, gem)-free, (P2∪P4, butterfly)-free, and (P2∪P4, diamond)-free graphs, the paper establishes explicit χ-binding functions, and shows (P2∪P4, diamond, C5)-free graphs with clique number at least 5 are perfect.