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- W3161878960 abstract "We prove that random hypergraphs are asymptotically almost surely resiliently Hamiltonian. Specifically, for any $gamma>0$ and $kge3$, we show that asymptotically almost surely, every subgraph of the binomial random $k$-uniform hypergraph $G^{(k)}big(n,n^{gamma-1}big)$ in which all $(k-1)$-sets are contained in at least $big(tfrac12+2gammabig)pn$ edges has a tight Hamilton cycle. This is a cyclic ordering of the $n$ vertices such that each consecutive $k$ vertices forms an edge." @default.
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- W3161878960 date "2021-05-10" @default.
- W3161878960 modified "2023-09-27" @default.
- W3161878960 title "Resilience for tight Hamiltonicity" @default.
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