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arXiv · 2205.06487

Asymptotics for connected graphs and irreducible tournaments

Thierry Monteil·Khaydar Nurligareev
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Abstract

We compute the whole asymptotic expansion of the probability that a large uniform labeled graph is connected, and of the probability that a large uniform labeled tournament is irreducible. In both cases, we provide a combinatorial interpretation of the involved coefficients.

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Thierry Monteil, Khaydar Nurligareev. 2022-05-13. Asymptotics for connected graphs and irreducible tournaments. https://doi.org/10.1007/978-3-030-83823-2_131

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