Let $K_m^{(3)}$ denote the complete 3-uniform hypergraph on $m$ vertices and $S_n^{(3)}$ the 3-uniform hypergraph on $n+1$ vertices consisting of all $\left(\genfrac{}{}{0ex}{}{n}{2}\right)$ edges incident to a given vertex. Whereas many hypergraph Ramsey numbers grow either at most polynomially or at least exponentially, we show that the off-diagonal Ramsey number $r(K_4^{(3)},S_n^{(3)})$ exhibits an unusual intermediate growth rate, namely,

中文翻译：

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超图拉姆齐派系与明星的数量

让$K_{米}^{（3）}$表示完整的 3-一致超图$米$顶点和$S_n^{（3）}$3-均匀超图$n+1$由所有顶点组成$\left(\genfrac{}{}{0ex}{}{n}{2}\right)$与给定顶点相关的边。尽管许多超图拉姆齐数最多以多项式或至少以指数方式增长，但我们表明非对角拉姆齐数$r（K_4^{（3）},S_n^{（3）}）$表现出不寻常的中间增长率，即