Central limit theorems in the configuration model
From MaRDI portal
Publication:1737962
DOI10.1214/18-AAP1425zbMath1466.60039arXiv1710.02644OpenAlexW2964318392MaRDI QIDQ1737962
Andrew David Barbour, Adrian Roellin
Publication date: 24 April 2019
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.02644
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Cites Work
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- Asymptotic normality of the size of the giant component via a random walk
- Asymptotic normality of the \(k\)-core in random graphs
- When are small subgraphs of a random graph normally distributed?
- A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
- The asymptotic number of labeled graphs with given degree sequences
- A central limit theorem for decomposable random variables with applications to random graphs
- Counting connected graphs inside-out
- The asymptotic variance of the giant component of configuration model random graphs
- Limit laws for self-loops and multiple edges in the configuration model
- The Phase Transition in the Configuration Model
- Asymptotic equivalence and contiguity of some random graphs
- Normal Approximation by Stein’s Method
- Susceptibility in subcritical random graphs
- A critical point for random graphs with a given degree sequence
- A functional central limit theorem for SI processes on configuration model graphs
- Central limit theorem for statistics of subcritical configuration models