Cascades on clique-based graphs

Adam Hackett; James P. Gleeson

doi:10.1103/PhysRevE.87.062801

Cascades on clique-based graphs

Adam Hackett
, James P. Gleeson

Maynooth University

Research output: Contribution to journal › Article › peer-review

Abstract

We present an analytical approach to determining the expected cascade size in a broad range of dynamical models on the class of highly clustered random graphs introduced by Gleeson. A condition for the existence of global cascades is also derived. Applications of this approach include analyses of percolation, and Watts's model. We show how our techniques can be used to study the effects of in-group bias in cascades on social networks.

Original language	English
Article number	062801
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	87
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.87.062801
Publication status	Published - 3 Jun 2013

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10.1103/PhysRevE.87.062801

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abstract = "We present an analytical approach to determining the expected cascade size in a broad range of dynamical models on the class of highly clustered random graphs introduced by Gleeson. A condition for the existence of global cascades is also derived. Applications of this approach include analyses of percolation, and Watts's model. We show how our techniques can be used to study the effects of in-group bias in cascades on social networks.",

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Cascades on clique-based graphs

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