A dissipative network model with neighboring activation
Key Laboratory of Communication and Information Systems, Beijing
Municipal Commission of Education, Beijing Jiaotong University,
Beijing, 100044, P.R.
2 Carnegie Mellon University, Silicon Valley, Moffett Field, CA 94035, USA
a e-mail: firstname.lastname@example.org
Received in final form: 9 August 2011
Published online: 26 October 2011
We propose a network model with dissipative structure taking into consideration the effect of neighboring activation and individual dissipation. Nodes may feel tired of interactions with new nodes step by step, and drop out of the network evolution. However, these dormant nodes can become active again following neighbors. During the whole evolution only active nodes have opportunities to receive new links. We analyze user behavior of a real Internet forum, and the statistical characteristics of this forum are analogous to our model. Under the influence of motivation and dissipation, the degree distribution of our network model decays as a power law with a diversity of tunable power exponents. Furthermore, the network has high clustering, small average path length and positive assortativity coefficients.
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2011