Please use this identifier to cite or link to this item: http://hdl.handle.net/2381/37670
Title: Fractional Dynamics of Network Growth Constrained by Aging Node Interactions
Authors: Safdari, Hadiseh
Kamali, Milad Zare
Shirazi, Amirhossein
Khalighi, Moein
Jafari, Gholamreza
Ausloos, Marcel
First Published: 12-May-2016
Publisher: Public Library of Science
Citation: PLoS One, 2016, 11(5): e0154983
Abstract: In many social complex systems, in which agents are linked by non-linear interactions, the history of events strongly influences the whole network dynamics. However, a class of “commonly accepted beliefs” seems rarely studied. In this paper, we examine how the growth process of a (social) network is influenced by past circumstances. In order to tackle this cause, we simply modify the well known preferential attachment mechanism by imposing a time dependent kernel function in the network evolution equation. This approach leads to a fractional order Barabási-Albert (BA) differential equation, generalizing the BA model. Our results show that, with passing time, an aging process is observed for the network dynamics. The aging process leads to a decay for the node degree values, thereby creating an opposing process to the preferential attachment mechanism. On one hand, based on the preferential attachment mechanism, nodes with a high degree are more likely to absorb links; but, on the other hand, a node’s age has a reduced chance for new connections. This competitive scenario allows an increased chance for younger members to become a hub. Simulations of such a network growth with aging constraint confirm the results found from solving the fractional BA equation. We also report, as an exemplary application, an investigation of the collaboration network between Hollywood movie actors. It is undubiously shown that a decay in the dynamics of their collaboration rate is found, even including a sex difference. Such findings suggest a widely universal application of the so generalized BA model.
DOI Link: 10.1371/journal.pone.0154983
ISSN: 1932-6203
Links: http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0154983
http://hdl.handle.net/2381/37670
Version: Publisher Version
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright: © 2016 Safdari et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Appears in Collections:Published Articles, School of Management

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