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• W2950512239 abstract "Models for generating simple graphs are important in the study of real-world complex networks. A well established example of such a model is the erased configuration model, where each node receives a number of half-edges that are connected to half-edges of other nodes at random, and then self-loops are removed and multiple edges are concatenated to make the graph simple. Although asymptotic results for many properties of this model, such as the limiting degree distribution, are known, the exact speed of convergence in terms of the graph sizes remains an open question. We provide a first answer by analyzing the size dependence of the average number of removed edges in the erased configuration model. By combining known upper bounds with a Tauberian Theorem we obtain upper bounds for the number of removed edges, in terms of the size of the graph. Remarkably, when the degree distribution follows a power-law, we observe three scaling regimes, depending on the power law exponent. Our results provide a strong theoretical basis for evaluating finite-size effects in networks." @default.
• W2950512239 created "2019-06-27" @default.
• W2950512239 creator A5050093240 @default.
• W2950512239 creator A5087671143 @default.
• W2950512239 date "2015-07-17" @default.
• W2950512239 modified "2023-09-27" @default.
• W2950512239 title "Upper bounds for number of removed edges in the Erased Configuration Model" @default.
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• W2950512239 hasPublicationYear "2015" @default.
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