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Memory effects on link formation in temporal networks: A fractional calculus approach

Author

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  • Rabbani, Fereshteh
  • Khraisha, Tamer
  • Abbasi, Fatemeh
  • Jafari, Gholam Reza

Abstract

Memory plays a vital role in the temporal evolution of interactions in complex systems. To understand this problem, we present this paper in which we propose to model memory via a temporal network model where nodes have a preferential tendency to establish links with more active nodes. Node activity is measured by the number of links in which a node participates in a given time interval. The paper presents two models: In the first model, we generate a temporal network without considering memory, while in the second, memory is added via the use of fractional-order derivative. The first model shows a characteristic time that reflects a change in the pattern of node activity. In the second model, we find that the stronger memory effect correlates negatively with the growth of node activity.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:564:y:2021:i:c:s0378437120308001
    DOI: 10.1016/j.physa.2020.125502
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    References listed on IDEAS

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    1. 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.
    2. Mazzarisi, P. & Barucca, P. & Lillo, F. & Tantari, D., 2020. "A dynamic network model with persistent links and node-specific latent variables, with an application to the interbank market," European Journal of Operational Research, Elsevier, vol. 281(1), pages 50-65.
    3. Ingo Scholtes & Nicolas Wider & René Pfitzner & Antonios Garas & Claudio J. Tessone & Frank Schweitzer, 2014. "Causality-driven slow-down and speed-up of diffusion in non-Markovian temporal networks," Nature Communications, Nature, vol. 5(1), pages 1-9, December.
    4. Hadiseh Safdari & Milad Zare Kamali & Amirhossein Shirazi & Moein Khalighi & Gholamreza Jafari & Marcel Ausloos, 2016. "Fractional Dynamics of Network Growth Constrained by Aging Node Interactions," PLOS ONE, Public Library of Science, vol. 11(5), pages 1-13, May.
    5. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 1999. "Mean-field theory for scale-free random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 173-187.
    6. Márton Karsai & Kimmo Kaski & János Kertész, 2012. "Correlated Dynamics in Egocentric Communication Networks," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-9, July.
    7. Amir Hossein Shirazi & Ali Namaki & Amir Ahmad Roohi & Gholam Reza Jafari, 2013. "Transparency Effect in the Emergence of Monopolies in Social Networks," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 16(1), pages 1-1.
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