论文标题

随机$ k $均匀超图的同构

Isomorphism for Random $k$-Uniform Hypergraphs

论文作者

Chakraborti, Debsoumya, Frieze, Alan, Haber, Simi, Hasabnis, Mihir

论文摘要

我们研究随机超图的同构问题。我们证明,对于二项式$ k $ - 均匀的hypergraph $ h_ {n,p; k} $,对于多项式时间是可解决的,对于$ p $。我们还表明它是可解决的W.H.P.对于随机$ r $ - regular,$ k $ - 均匀的超图$ h_ {n,r; k},r = o(1)$。

We study the isomorphism problem for random hypergraphs. We show that it is solvable in polynomial time for the binomial random $k$-uniform hypergraph $H_{n,p;k}$, for a wide range of $p$. We also show that it is solvable w.h.p. for random $r$-regular, $k$-uniform hypergraphs $H_{n,r;k},r=O(1)$.

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