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On the Asymptotics of the Connectivity Probability of Random Bipartite Graphs
Published: April 14, 2025 |
arXiv ID: 2504.10640v1
By: Boris Chinyaev
Potential Business Impact:
Helps understand how computer networks connect.
Business Areas:
A/B Testing
Data and Analytics
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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