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Cut-offs and finite size effects in scale-free networks

Open access
Boguñá, M., Pastor-Satorras, R., Vespignani, A.·2004·The European Physical Journal B

Abstract

Abstract.We analyze the degree distribution’s cut-off in finite size scale-free networks. We show that the cut-off behavior with the number of vertices N is ruled by the topological constraints induced by the connectivity structure of the network. Even in the simple case of uncorrelated networks, we obtain an expression of the structural cut-off that is smaller than the natural cut-off obtained by means of extremal theory arguments. The obtained results are explicitly applied in the case of the configuration model to recover the size scaling of tadpoles and multiple edges.

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Metadata

Authors
Boguñá, M., Pastor-Satorras, R., & Vespignani, A.
Venue
The European Physical Journal B
Published
2004-03
Volume
38
Issue
2
Pages
205-209
ISSN
  • 1434-6028 (ISSN-L)
  • 1434-6036
OpenAlex
W2067190946
Cited by
309
References
2
FWCI
12.05
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Cut-offs and finite size effects in scale-free networks. https://app.cochat.ai/papers/10.1140/epjb/e2004-00038-8
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Boguñá, M., Pastor-Satorras, R., & Vespignani, A. (2004). Cut-offs and finite size effects in scale-free networks. The European Physical Journal B. https://doi.org/10.1140/epjb/e2004-00038-8

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.