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基于择优随机游动的加权网络模型 被引量：2

A Weighted Network Model Based on Preferential Random Walks
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摘要 基于择优随机游动提出一个加权网络模型,并对网络的强度分布、度分布以及权重分布进行分析,结果表明:该模型生成的网络具有无标度特性. A weighted metwork model is proposed based on preferential random walks. The strength, degree and weight distribution of the networks is provided by analytical approach and numerical simulation. Results show that the network possesses power-law behavior.
作者 陈盛辉 蔡清波
机构地区 福建师范大学协和学院 泉州师范学院理工学院
出处 《泉州师范学院学报》 2009年第4期4-6,26,共4页 Journal of Quanzhou Normal University
关键词 加权网络 随机游动 强度分布 度分布 权重分布 无标度 weighted networks random walks strength distribution degree distribution weight distribution power-law
分类号 O211.6 [理学—概率论与数理统计]
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参考文献9

  • 1BRRAT A,BARTHELEMY M,PASTOR-SATORRAS,et al. The architecture of complex weighted networks[J]. Proc Natl Acad Sci, 2004,101 :3747- 3752.
  • 2LI C G, CHEN G R. Network connection strengths: Another power-law[J]. 2003 ,cond-mat/0311333.
  • 3YOOK S H,JEONG H,BARABASI A L,et al. Weighted evolving networks[J]. Phys Rev Lett,2001,86:5835-5838.
  • 4BARRAT A,BARTHELEMY M,VESPIGNANI A. Weighted evolving networks:eoupling topology and weight dynamics[J]. Phys Rev Lett, 2004,92 : 228701.
  • 5WANG W X, HU B, ZHOU T, et al. Mutual selection model for weighted networks[J]. Phys Rev E, 2005,72:046140.
  • 6NOH J D,RIEGER H. Random Walks on Complex Networks[J]. Phys Rev Lett, 2004,92 : 118701.
  • 7WU A C,XU X J,WU Z X,et al. Walks on weighted networks. 2006,cond-mat/0601061.
  • 8CHEN Q H ,CHEN S H. A highly clustered scale-free network evolved by random walking[J].Physica A 2007:773-781.
  • 9DOROGOVTSEV S N, MENDES J F F,SAMUKHIN A N. Structure of growing networks with preferential linking[J]. Phys Rev Lett,2000,85 (21) :4633-4636.

同被引文献13

  • 1潘灶烽,汪小帆.一种可大范围调节聚类系数的加权无标度网络模型[J].物理学报,2006,55(8):4058-4064. 被引量：36
  • 2Yook S H,Jeong H,Barabási A L. Weighted evolving networks[J].Physical Review Letters,2001,(86):5835-5838.doi:10.1103/PhysRevLett.86.5835.
  • 3Zheng D,Trimper S,Zheng B. Weighted scale-free networks with stochastic weight assignments[J].Physical Review E,2003,(67):040102.
  • 4Barrat A,Barthélemy M,Vespignani A. Weighted evolving networks:coupling topology and weight dynamics[J].Physical Review Letters,2004,(92):228701.
  • 5Wang W X,Hu B,Zhou T. Mutual selection model for weighted networks[J].Physical Review E,2005,(72):066140.
  • 6Klemm K,Eguíluz V M. Highly clustered scale-free networks[J].Physical Review E,2002,(65):036123.
  • 7Holme P,Kim B J. Growing scale-free networks with tunable clustering[J].Physical Review E,2002,(65):026107.
  • 8Chen Q H,Chen S H. A highly clustered scale-free network evolved by random walking[J].Physical A,2007,(02):773-781.doi:10.1016/j.physa.2007.04.048.
  • 9Noh J D,Rieger H. Random walks on complex networks[J].Physical Review Letters,2004,(92):118701.
  • 10Gallos L K. Random walk and trapping processes on scale-free networks[J].Physical Review E,2004,(70):046116.

引证文献2

二级引证文献1

泉州师范学院学报
2009年 第4期

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