RC-4082, The Red Centre, UNSW Kensington campus
Work on the analysis of the number of Hamilton cycles in random regular uniform hypergraphs is discussed. In particular, a constant degree threshold sufficient for the existence of a Hamilton cycle with probability which tends to 1, as conjectured by Dudek, Frieze, Rucinski and Sileikis in 2015, is found.
Joint work with Daniel Altman, Mikhail Isaev, Reshma Ramadurai.
Presenter: Catherine Greenhill, A/Professor at UNSW School of Mathematics and Statistics.