On the Asymptotics of the Connectivity Probability of Random Bipartite Graphs
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908320007192576 |
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| author | Chinyaev, Boris |
| author_facet | Chinyaev, Boris |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10640 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Asymptotics of the Connectivity Probability of Random Bipartite Graphs Chinyaev, Boris Probability Discrete Mathematics Combinatorics 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. |
| title | On the Asymptotics of the Connectivity Probability of Random Bipartite Graphs |
| topic | Probability Discrete Mathematics Combinatorics |
| url | https://arxiv.org/abs/2504.10640 |