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math.CO 1

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2026 1

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UNVERDICTED 1

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Ramsey-type $\chi$-bounds for $\chi$-bounded graph classes

math.CO · 2026-05-09 · unverdicted · novelty 8.0

For graphs with no induced T (forest with broom components or any forest) and no induced H (complete multipartite or bipartite), χ(G) is at most C times R(α(H), ω(G)+1) for a constant C depending only on T and H.

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  • Ramsey-type $\chi$-bounds for $\chi$-bounded graph classes math.CO · 2026-05-09 · unverdicted · none · ref 22

    For graphs with no induced T (forest with broom components or any forest) and no induced H (complete multipartite or bipartite), χ(G) is at most C times R(α(H), ω(G)+1) for a constant C depending only on T and H.