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The Cartographer
A Method for Generating Connected Erdos-Renyi Random Graphs
April 08, 2025 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Boris Chinyaev
arXiv ID
2504.05907
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.DM,
cs.IT,
math.CO,
math.PR
Citations
1
Venue
arXiv.org
Last Checked
4 months ago
Abstract
We propose a novel exact algorithm for generating connected Erdos-Renyi random graphs $G(n,p)$. The method couples the graph exploration process to an inhomogeneous Poisson random walk, which yields an exact sampler that runs in $O(n)$ time in the sparse regime $p=c/n$. We also show how the method extends to the $G(n,M)$ model via an additional acceptance-rejection step.
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