期刊文献+

基于BBV的有向加权网络模型 被引量:13

Directed Weighted Network Model Based on BBV
下载PDF
导出
摘要 在BBV模型基础上,结合方向性和网络演化特性,提出一种有向加权网络模型。引入参数p、q,将节点强度分为入强度和出强度,根据BBV建模思想进行模型择优和演化。理论分析和数值模拟仿真结果表明,该模型的节点出入强度和出入度分布满足幂律指数为[2,3]的幂律分布,且通过调节参数可使平均路径和聚簇系数符合复杂网络特性。 This paper proposes a directed weighted network model based on BBV model by culminating with directivity and characteristic of network evolution. It introduces parameters p, q, the strength of a node is divided into in-strength and out-strength, picks over and evolution of this model based on BBV building thought. Theory analysis and numerical value simulation results show that node distribution of out-strength and in-strength with the exponent of [2,3] in this model. Average path and clustering coefficient which are adjusted by parameter can consistent with the characteristics of complex network.
出处 《计算机工程》 CAS CSCD 北大核心 2010年第12期141-143,共3页 Computer Engineering
基金 国家自然科学基金资助项目(60873194)
关键词 BBV模型 有向加权网络 边权 节点出强度 节点入强度 Barrat-Barthelemy-Vespignani(BBV) model directed weighted network edge weighted node out-strength node in-strength
  • 相关文献

参考文献12

  • 1Erd(o)s P,Rényi A.On the Evolution of Random Graphs[D].[S.l.] :Mathematical Institute of the Hungarian Academy of Sciences,1960.
  • 2Watts D J,Strogatz S H.Collective Dynamics of Small World Networks[J].Nature,1998,393(6684):440-442.
  • 3Newman M E J,Watts D J.Renormalization Group Analysis of the Small-wodd Network Model[J].Physics Letters A,1999,263(4-6):341-346.
  • 4Barabási A L,Albert R.Emergence of Scaling in Random Networks[J].Science,1999,286(5439):509-512.
  • 5Barrat A,Barthélemy M,Vespignani A.Modeling the Evolution of Weighted Networks[J].Physical Review E,2004,70(6):1-13.
  • 6Borgs C,Chayes J T,Riordan O,et al.Directed Scale-free Graphs[C] //Proc.of SODA'03.Philadelphia,USA:[s.n.] ,2003.
  • 7Liu Jiangus,Dang Yanzhong,Wang Zhongtuo.A Directed Network Model for World Wide Web[J].Physica A,2006,385(7):861-869.
  • 8Cooper C,Frieze A.A General Model of web Graphs[J].Random Structures and Algorithms,2003,22(3):311-335.
  • 9Bernhardsson S,Minnhagen P.Models and Average Properties of Scale-free Directed Networks[J].Physical Review E,2006,74(2):1-7.
  • 10Sen P.Directed Accelerated Growth:Application in Citation Network[J].Physica A,2005,384(1/2):139-146.

二级参考文献26

  • 1郭进利.探讨动态复杂网络的新途径[J].系统工程理论与实践,2006,26(7):33-40. 被引量:14
  • 2PRICE D J de S.Networks of scientific paper[J].Science,1965,149:510-515.
  • 3NEWMAN M E J.The Structure and function of complex networks[J].SIAM Review,2003,45:167-256.
  • 4PRICE D J de S.A general theory of bibliometric and other cumulative advantage processes[J].J Amer Soc Inform Sci,1976,27:292-306.
  • 5BORNHOLDT S,EBEL H.World wide web scaling exponent from Simon's 1955 model[J].Phys Rev E,2001,64:035104.
  • 6SINOM H A.On a class of skew distribution functions[J].Biometrika,1955,42:425-440.
  • 7BARABASI A L,ALBERT R,JEONG H.Mean-field theory for scale-free random networks[J].Physica A,1999,272:173-187.
  • 8GUOJ L,BAI Y Q.A note on mean-field theory for scale-free random networks,Dynamics of continuous[J].Discrete and Impulsive Systems,Ser B,2006,13(3):520~528.
  • 9BOLLOBAS B,RIORDAN O M.Mathematical results on scale-free random graphs[A].In:BORNHOLDT S,SCHUSTER H G,eds.Handbook of Graphs and Network[C],Weinheim:WILEY-VCH GmbH & Co KGaA,2003.
  • 10ROSS S M.Stochastic Processes[M].New York:John Wiley & Sons Inc,1983.

共引文献21

同被引文献112

引证文献13

二级引证文献114

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部