Degree Correlations Amplify the Growth of Cascades in Networks 1,2 Xin-Zeng Wu (吳信增) , Peter G. Fennell1 , Allon G. Percus3,1 , and Kristina Lerman1 1 Information Sciences Institute, University of Southern California, Marina del Rey, CA 90292 2 Department...
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Degree Correlations Amplify the Growth of Cascades in Networks 1,2 Xin-Zeng Wu (吳信增) , Peter G. Fennell1 , Allon G. Percus3,1 , and Kristina Lerman1 1 Information Sciences Institute, University of Southern California, Marina del Rey, CA 90292 2 Department of Physics and Astronomy, University of Southern California, Los Angeles, CA 90089 and 3 Institute of Mathematical Sciences, Claremont Graduate University, Claremont, CA 91711 Networks facilitate the spread of cascades, allowing a local perturbation to percolate via interac- tions between nodes and their neighbors. We investigate how network structure affects the dynamics of a spreading cascade. By accounting for the joint degree distribution of a network within a gen- erating function framework, we can quantify how degree correlations affect both the onset of global arXiv:1807.05472v1 [physics.soc-ph] 15 Jul 2018 cascades and the propensity of nodes of specific degree class to trigger large cascades. However, not all degree correlati
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