Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (1): 18903-018903.doi: 10.1088/1674-1056/22/1/018903

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

Rank-based deactivation model for networks with age

王学文a, 杨国宏a, 李小林b, 许新建b   

  1. a Department of Physics, Shanghai University, Shanghai 200444, China;
    b Department of Mathematics, Shanghai University, Shanghai 200444, China
  • 收稿日期:2012-08-29 修回日期:2012-09-26 出版日期:2012-12-01 发布日期:2012-12-01
  • 基金资助:
    Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20093108110004) and the National Natural Science Foundation of China (Grant Nos. 10805033 and 10902065).

Rank-based deactivation model for networks with age

Wang Xue-Wen (王学文)a, Yang Guo-Hong (杨国宏)a, Li Xiao-Lin (李小林)b, Xu Xin-Jian (许新建)b   

  1. a Department of Physics, Shanghai University, Shanghai 200444, China;
    b Department of Mathematics, Shanghai University, Shanghai 200444, China
  • Received:2012-08-29 Revised:2012-09-26 Online:2012-12-01 Published:2012-12-01
  • Contact: Xu Xin-Jian E-mail:xinjxu@shu.edu.cn
  • Supported by:
    Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20093108110004) and the National Natural Science Foundation of China (Grant Nos. 10805033 and 10902065).

摘要: We study the impact of age on network evolution which couples addition of new nodes and deactivation of old ones. During evolution, each node experiences two stages: active and inactive. The transition from the active state to the inactive one is based on the rank of the node. In this paper, we adopt age as a criterion of ranking, and propose two deactivation models that generalize previous researches. In model A, the older active node possesses the higher rank, whereas in model B, the younger active node takes the higher rank. We make comparative study between the two models through the node-degree distribution.

关键词: complex networks, deactivation model, rank

Abstract: We study the impact of age on network evolution which couples addition of new nodes and deactivation of old ones. During evolution, each node experiences two stages: active and inactive. The transition from the active state to the inactive one is based on the rank of the node. In this paper, we adopt age as a criterion of ranking, and propose two deactivation models that generalize previous researches. In model A, the older active node possesses the higher rank, whereas in model B, the younger active node takes the higher rank. We make comparative study between the two models through the node-degree distribution.

Key words: complex networks, deactivation model, rank

中图分类号:  (Structures and organization in complex systems)

  • 89.75.Fb
89.75.Hc (Networks and genealogical trees)