上海大学学报(自然科学版) ›› 2009, Vol. 15 ›› Issue (1): 20-25.

• 数理化科学 • 上一篇    下一篇

增长的可导航网络模型

杜丽娟,史定华,陈倩   

  1. 上海大学 理学院,上海 200444
  • 收稿日期:2007-08-27 出版日期:2009-02-21 发布日期:2009-02-21
  • 基金资助:
    国家自然科学基金资助项目(60874083)

A Model of Growing and Navigating Networks

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2007-08-27 Online:2009-02-21 Published:2009-02-21
  • About author:史定华(1941~),男,教授,博士生导师,研究方向为随机模型、生物信息、复杂网络等.

摘要:

复杂网络具有3种重要的结构特性:小世界性、scale-free性和可导航性,反映它们的经典模型是:Watts-Strogatz模型、Barabási-Albert模型和Kleinberg模型.为了全面地反映出这些特性,在经典网络模型的基础上提出了一个新的增长可导航网络模型,这个模型同时具有这3种重要特征,并且在这个网络模型上使用贪婪算法时,它与Kleinberg模型具有相同的导航效果,有时甚至更加优越.

关键词: 复杂网络;小世界性;scale-free性;可导航性;贪婪算法

Abstract:

There are three important structural features in complex networks: small-world effect, scale-free property and network’s navigability. Typical models reflecting these features, respectively, are the Watts-Strogatz’s model, the Barabási-Albert’s model and the Kleinberg’s model. Based on the typical models, a new model of growing and navigable networks is proposed, with the generated networks possessing all these features simultaneously. The results of navigation obtained by using a greedy algorithm on networks of the model are similar to, or even better than, that of the Kleinberg’s model.

Key words: complex network; small-world effect; scale-free property; network’s navigability; greedy algorithm

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