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Fractional Dynamics of Network Growth Constrained by aging Node Interactions
- Source :
- PLoS ONE, PLoS ONE, Vol 11, Iss 5, p e0154983 (2016)
- Publication Year :
- 2017
- Publisher :
- arXiv, 2017.
-
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 Barabasi-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.<br />Comment: 13 pages; 5 figures; 71 references; as prepared for submission to PLOS ONE
- Subjects :
- FOS: Computer and information sciences
Aging
Computer science
Physiology
Economics
Kernel Functions
Awards and Prizes
lcsh:Medicine
Social Sciences
Preferential attachment
01 natural sciences
010305 fluids & plasmas
Sociology
Medicine and Health Sciences
Centrality
Statistical physics
Cooperative Behavior
lcsh:Science
Operator Theory
Multidisciplinary
Calculus
Careers
Computer Science - Social and Information Networks
Network formation
Social Networks
Physical Sciences
Network Analysis
Algorithms
Network analysis
Research Article
Employment
Computer and Information Sciences
Physics - Physics and Society
FOS: Physical sciences
Physics and Society (physics.soc-ph)
Models, Biological
0103 physical sciences
Differential Equations
Humans
Computer Simulation
010306 general physics
Probability
Social and Information Networks (cs.SI)
Social network
business.industry
Node (networking)
lcsh:R
Biology and Life Sciences
Social Support
Numerical Analysis, Computer-Assisted
Network dynamics
Constraint (information theory)
Fractional dynamics
Labor Economics
lcsh:Q
Fractional Calculus
business
Physiological Processes
Organism Development
Mathematics
Developmental Biology
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- PLoS ONE, PLoS ONE, Vol 11, Iss 5, p e0154983 (2016)
- Accession number :
- edsair.doi.dedup.....be0a8e6d518a64c70b541becead8b046
- Full Text :
- https://doi.org/10.48550/arxiv.1709.02960