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Role of hubs in the synergistic spread of behavior

Yongjoo Baek, Kihong Chung, Meesoon Ha, Hawoong Jeong, and Daniel Kim
Phys. Rev. E 99, 020301(R) – Published 25 February 2019
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Abstract

The spread of behavior in a society has two major features: the synergy of multiple spreaders and the dominance of hubs. While strong synergy is known to induce mixed-order transitions (MOTs) at percolation, the effects of hubs on the phenomena are yet to be clarified. By analytically solving the generalized epidemic process on random scale-free networks with the power-law degree distribution pkkα, we clarify how the dominance of hubs in social networks affects the conditions for MOTs. Our results show that, for α<4, an abundance of hubs drive MOTs, even if a synergistic spreading event requires an arbitrarily large number of adjacent spreaders. In particular, for 2<α<3, we find that a global cascade is possible even when only synergistic spreading events are allowed. These transition properties are substantially different from those of cooperative contagions, which are another class of synergistic cascading processes exhibiting MOTs.

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  • Received 8 October 2018
  • Revised 2 December 2018

DOI:https://doi.org/10.1103/PhysRevE.99.020301

©2019 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsNetworksInterdisciplinary Physics

Authors & Affiliations

Yongjoo Baek1,*, Kihong Chung2,*, Meesoon Ha3,†, Hawoong Jeong4, and Daniel Kim2

  • 1DAMTP, Centre for Mathematical Sciences, University of Cambridge, Cambridge CB3 0WA, United Kingdom
  • 2Natural Science Research Institute, Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea
  • 3Department of Physics Education, Chosun University, Gwangju 61452, Korea
  • 4Department of Physics and Institute for the BioCentury, Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea

  • *These authors contributed equally to this work.
  • Corresponding author: msha@chosun.ac.kr

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Issue

Vol. 99, Iss. 2 — February 2019

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