| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Long Division Unites or Long Union Divides: a Model for Social Network Evolution |
| JIANG Jian1,2,3,4, WANG Ru2,5, Pezeril Michel3, Wang Qiuping Alexandre2,3 |
1Complexity Science Center and Institute of Particle Physics, Huazhong Normal University, Wuhan 430079
2Institut Supérieur des Matériaux et Mécaniques Avancés 44, Avenue F. A. Bartholdi, 72000 Le Mans, France
3IMMM, UMR 6283, Université du Maine, Ave. O. Messaen, 72085 Le Mans, France
4College of Mathematics and Computer Science of Wuhan Textile University, Wuhan 430200
5College of Infromation Science and Engineering, Huajiao University, Quanzhou 362021
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| Cite this article: |
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JIANG Jian, WANG Ru, Pezeril Michel et al 2013 Chin. Phys. Lett. 30 038901 |
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Abstract A remarkable phenomenon in the time evolution of many networks such as cultural, political, national and economic systems is the recurrent transition between the states of union and the division of nodes. We propose a phenomenological modeling, inspired by the maxim "long union divides and long division unites" to investigate the evolutionary characters of these networks composed of the entities whose behaviors are dominated by these two events. The nodes are endowed with quantities such as identity, ingredient, richness (power), openness (connections), age, distance, and interaction, which determine collectively the evolution in a probabilistic way. Depending on a tunable parameter, the time evolution of this model is mainly an alternative domination of union or division state, with a possible state of final union dominated by one single node.
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Received: 24 October 2012
Published: 29 March 2013
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