Tight Hamilton Cycles in Random Uniform Hypergraphs

Andrzej Dudek, Alan Frieze
2018
In this paper we show that e/n is the sharp threshold for the existence of tight Hamilton cycles in random k -uniform hypergraphs, for all k ≥ 4. When k = 3 we show that 1/n is an asymptotic threshold. We also determine thresholds for the existence of other types of Hamilton cycles.
doi:10.1184/r1/6480110.v1 fatcat:qe77ukkwnfak7do6eovzncxh3y