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On the spread of viruses on the internet

Noam Berger, Christian Borgs, Jennifer Chayes, Amin Saberi·2005
DOI 10.5555/1070432.1070475

Abstract

We analyze the contact process on random graphs generated according to the preferential attachment scheme as a model for the spread of viruses in the Internet. We show that any virus with a positive rate of spread from a node to its neighbors has a non-vanishing chance of becoming epidemic. Quantitatively, we discover an interesting dichotomy: for a virus with effective spread rate)~, if the infection starts at a typical vertex, then it de-O / I,,a(1/~),~ velops into an epidemic with probability A t ~ J, but on average the epidemic probability is A cO). 1

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Metadata

Authors
Berger, N., Borgs, C., Chayes, J., & Saberi, A.
Published
2005-01-23
Pages
301-310
DOI
10.5555/1070432.1070475
OpenAlex
W2065543353
Cited by
183
References
0
FWCI
6.98
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: On the spread of viruses on the internet. https://app.cochat.ai/papers/10.5555/1070432.1070475
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Berger, N., Borgs, C., Chayes, J., & Saberi, A. (2005). On the spread of viruses on the internet. https://doi.org/10.5555/1070432.1070475

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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.