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On tight tree-complete hypergraph Ramsey numbers

math.CO · 2024-12-27 · conditional · novelty 7.0

For r=3 and r=4, every non-trivial tight r-tree T satisfies R(T,n)=Theta(n^(r-1)), with the 4-uniform case proved by a new explicit construction.

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  • On tight tree-complete hypergraph Ramsey numbers math.CO · 2024-12-27 · conditional · none · ref 1

    For r=3 and r=4, every non-trivial tight r-tree T satisfies R(T,n)=Theta(n^(r-1)), with the 4-uniform case proved by a new explicit construction.