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math.CO 1

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Unavoidable subgraphs in Ramsey graphs

math.CO · 2025-02-14 · conditional · novelty 7.0

For cycles and balanced complete multipartite graphs, every forest of copies of F is forced in large Ramsey graphs, but infinitely many graphs F admit Ramsey graphs that avoid all non-trivial such forests.

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  • Unavoidable subgraphs in Ramsey graphs math.CO · 2025-02-14 · conditional · none · ref 5

    For cycles and balanced complete multipartite graphs, every forest of copies of F is forced in large Ramsey graphs, but infinitely many graphs F admit Ramsey graphs that avoid all non-trivial such forests.