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- W3209981881 abstract "For $0leq ell <k$, a Hamiltonian $ell$-cycle in a $k$-uniform hypergraph$H$ is a cyclic ordering of the vertices of $H$ in which the edges are segmentsof length $k$ and every two consecutive edges overlap in exactly $ell$vertices. We show that for all $0le ell<k-1$, every $k$-graph with minimumco-degree $delta n$ with $delta>1/2$ has (asymptotically and up to asubexponential factor) at least as many Hamiltonian $ell$-cycles as in atypical random $k$-graph with edge-probability $delta$. This significantlyimproves a recent result of Glock, Gould, Joos, Kuhn, and Osthus, andverifies a conjecture of Ferber, Krivelevich and Sudakov for all values $0leqell<k-1$." @default.
- W3209981881 created "2021-11-08" @default.
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- W3209981881 date "2021-10-29" @default.
- W3209981881 modified "2023-10-14" @default.
- W3209981881 title "Counting Hamiltonian Cycles in Dirac Hypergraphs" @default.
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