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Physics > Physics and Society

Title: Directed Percolation in Temporal Networks

Abstract: Connectivity transitions in static networks are well described by percolation theory, yet the corresponding description is not developed for temporal networks. We map the connectivity problem of temporal networks to directed percolation and show that the reachability phase transition in random temporal network models, as induced by any limited-waiting-time process, appears with the mean-field exponents of directed percolation. Furthermore, we measure the central thermodynamic quantities adapted to large-scale real temporal networks to uncover reachability transitions in their global connectedness.
Subjects: Physics and Society (physics.soc-ph); Disordered Systems and Neural Networks (cond-mat.dis-nn); Statistical Mechanics (cond-mat.stat-mech); Social and Information Networks (cs.SI)
Cite as: arXiv:2107.01510 [physics.soc-ph]
  (or arXiv:2107.01510v1 [physics.soc-ph] for this version)

Submission history

From: Arash Badie-Modiri [view email]
[v1] Sun, 4 Jul 2021 00:10:01 GMT (729kb,D)
[v2] Thu, 14 Oct 2021 20:40:25 GMT (1721kb,D)
[v3] Mon, 18 Oct 2021 09:45:11 GMT (1717kb,D)
[v4] Sat, 30 Oct 2021 08:42:17 GMT (1698kb,D)
[v5] Wed, 2 Feb 2022 14:21:28 GMT (1701kb,D)
[v6] Tue, 29 Mar 2022 22:59:44 GMT (1705kb,D)
[v7] Sun, 11 Jun 2023 12:22:01 GMT (1708kb,D)

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