Year: 2009
Type: preprint
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 $\mathbb N$.
Source: arXiv (Cornell University)
Authors: Majer, Pietro, Novaga, Matteo
Institutions: University of Pisa, University of Padua
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1873786824