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arXiv · 2504.10640

On the Asymptotics of the Connectivity Probability of Random Bipartite Graphs

Boris Chinyaev
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Abstract

In this paper, we analyze the exact asymptotic behavior of the connectivity probability in a random binomial bipartite graph $G(n,m,p)$ under various regimes of the edge probability $p=p(n)$. To determine this probability, a method based on the analysis of inhomogeneous random walks is proposed.

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Boris Chinyaev. 2025-04-14. On the Asymptotics of the Connectivity Probability of Random Bipartite Graphs. https://arxiv.org/abs/2504.10640

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