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arXiv · 0906.1689

Monotone paths in random hypergraphs

Pietro Majer·Matteo Novaga
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Abstract

We determine the probability thresholds for the existence of monotone paths, of finite and infinite 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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Pietro Majer, Matteo Novaga. 2009-06-09. Monotone paths in random hypergraphs. https://arxiv.org/abs/0906.1689

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