Monotone paths in random hypergraphs

Details Monotone paths in random hypergraphs Monotone paths in random hypergraphs

2009-06-09

arxiv.org/abs/0906.1689v4

Mathematics

Probability

16 pages

Scientific paper

We determine the probability thresholds for the existence of monotone paths,
of ?finite and infi?nite length, in random oriented graphs with vertex set
$\mathbb N^{[k]}$, the set of all increasing $k$-tuples in $\mathbb N$. These
graphs appear as line graph of uniform hypergraphs with vertex set $\mathbb N$.

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