Master-equation analysis of accelerating networks

Smith, David, Onnela, Jukka-Pekka and Jones, Nick S. (2009) Master-equation analysis of accelerating networks. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 79 (5). 056101.


In many real-world networks, the rates of node and link addition are time dependent. This observation motivates the definition of accelerating networks. There has been relatively little investigation of accelerating networks and previous efforts at analyzing their degree distributions have employed mean-field techniques. By contrast, we show that it is possible to apply a master-equation approach to such network development. We provide full time-dependent expressions for the evolution of the degree distributions for the canonical situations of random and preferential attachment in networks undergoing constant acceleration. These results are in excellent agreement with results obtained from simulations. We note that a growing nonequilibrium network undergoing constant acceleration with random attachment is equivalent to a classical random graph, bridging the gap between nonequilibrium and classical equilibrium networks.

Item Type: Article
Keywords: complexity, science & technology management, accelerating networks, master-equation approach
Subject(s): Complexity
Science & technology management
Centre: CABDyN Complexity Centre
Related URLs:
Date Deposited: 16 Jun 2010 09:11
Last Modified: 22 Jan 2018 13:42
Funders: N/A

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