Tight Hamilton Cycles in Random Uniform Hypergraphs (1101.2424v4)

Published 12 Jan 2011 in math.CO

Abstract: 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 $k\ge 4$. 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.

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