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Scaling properties in time-varying networks with memory

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  • Hyewon Kim
  • Meesoon Ha
  • Hawoong Jeong

Abstract

The formation of network structure is mainly influenced by an individual node’s activity and its memory, where activity can usually be interpreted as the individual inherent property and memory can be represented by the interaction strength between nodes. In our study, we define the activity through the appearance pattern in the time-aggregated network representation, and quantify the memory through the contact pattern of empirical temporal networks. To address the role of activity and memory in epidemics on time-varying networks, we propose temporal-pattern coarsening of activity-driven growing networks with memory. In particular, we focus on the relation between time-scale coarsening and spreading dynamics in the context of dynamic scaling and finite-size scaling. Finally, we discuss the universality issue of spreading dynamics on time-varying networks for various memory-causality tests. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Hyewon Kim & Meesoon Ha & Hawoong Jeong, 2015. "Scaling properties in time-varying networks with memory," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(12), pages 1-8, December.
    • Handle: RePEc:spr:eurphb:v:88:y:2015:i:12:p:1-8:10.1140/epjb/e2015-60662-7
    DOI: 10.1140/epjb/e2015-60662-7
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    Cited by:

    1. Rabbani, Fereshteh & Khraisha, Tamer & Abbasi, Fatemeh & Jafari, Gholam Reza, 2021. "Memory effects on link formation in temporal networks: A fractional calculus approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    2. Zhang, Xin & Xie, Sheng & Vilela, André L.M. & Stanley, H. Eugene, 2019. "Inter-event time interval analysis of organizational-level activity: Venture capital market case," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 346-355.
    3. Zhao, Xiuming & Yu, Hongtao & Li, Shaomei & Liu, Shuxin & Zhang, Jianpeng & Cao, Xiaochun, 2022. "Effects of memory on spreading processes in non-Markovian temporal networks based on simplicial complex," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    4. Valadkhani, Abbas & Costello, Greg & Ratti, Ronald, 2016. "House price cycles in Australia’s four largest capital cities," Economic Analysis and Policy, Elsevier, vol. 52(C), pages 11-22.

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