Tight Hamilton Cycles in Random Uniform Hypergraphs

Details Tight Hamilton Cycles in Random Uniform Hypergraphs Tight Hamilton Cycles in Random Uniform Hypergraphs

2011-01-12

arxiv.org/abs/1101.2424v4

Mathematics

Combinatorics

9 pages. Updated to add material

Scientific paper

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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