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Network model with synchronously increasing nodes and edges based on Web 2.0

Xiong Fei Liu Yun Si Xia-Meng Ding Fei

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Network model with synchronously increasing nodes and edges based on Web 2.0

Xiong Fei, Liu Yun, Si Xia-Meng, Ding Fei
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  • We investigate the growing process and topological features of Web 2.0 networks. By analyzing the network’s degree distribution, average degree and time evolution of the node degree of an actual blog on portal website, we found these properties are different from those of the former scale-free network models. According to the growth characteristics of actual networks, we put forward a new type of network with synchronously increasing nodes and edges, including construction algorithms of randomly linking and connection between close neighbours. The simulation results show that the networks generated from our model have power-law degree distribution in case of absence of the preferential attachment process, and the clustering coefficient increases and the connectivity correlations are assortative.
    [1]

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    Newman M E J 2001 Proc. Nat. Acad. Sci. 98 404

    [3]

    Jeong H, Tombor B, Albert R, Oltvai Z N, Barabasi A L 2000 Nature 407 651

    [4]

    Lee T I, Rinaldi N J, Robert F, Odom D T, Bar-Joseph Z, Gerber G K, Hannett N M, Hannett C T, Thompson C M, Simon I, Zeitlinger J, Jennings E G, Murray H L, Gordon D B, Ren B, Wyrick J J, Jean-Bosco T, Volkert T L, Fraenkel E, Gifford D K, Young R A 2002 Science 298 799

    [5]

    Dietz H, Rief M 2008 Phys. Rev. Lett. 100 098101

    [6]

    Adamic L A, Huberman B A, Barabasi A, Albert R, Jeong H, Bianconi G 2000 Science 287 2115

    [7]

    Pastor-Satorras R, Vazquez A, Vespignani A 2001 Phys. Rev. Lett. 87 258701

    [8]

    Juanico B, Sanejouand Y H 2007 Phys. Rev. Lett. 99 238104

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    Erdos P, Renyi A 1959 Publ. Math. 6 290

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    Watts D J, Strogatz S H 1998 Nature 393 440

    [11]

    Barabasi A L, Albert R 1999 Science 286 509

    [12]

    Albert R, Barabasi A L 2002 Phys. Rev. Mod. 74 47

    [13]

    Huang Z X, Wang X R, Zhu H 2004 Chin. Phys. 13 273

    [14]

    Li J, Xiao J H, Jiang P Q, Zhou T, Wang W X 2006 Acta Phys. Sin. 55 4051 (in Chinese) [李 季、 肖井华、 蒋品群、 周 涛、 王文旭 2006 物理学报 55 4051]

    [15]

    Pan Z F, Wang X F 2006 Acta Phys. Sin. 55 4058 (in Chinese) [潘灶烽、 汪小帆 2006 物理学报 55 4058]

    [16]

    Hwang D U, Boccaletti S, Moreno Y, Lopez-Ruiz R 2005 Math. Biosoi. Engng. 2 317

    [17]

    Klemm K, Eguiluz V M 2002 Phys. Rev. E 65 036123

    [18]

    Wang W X, Wang B H, Hu B, Yan G, Ou Q 2005 Phys. Rev. Lett. 94 188702

    [19]

    Jost J, Joy M P 2002 Phys. Rev. E 66 036126

    [20]

    Hu M B, Jiang R, Wu Y H, Wang W X, Wu Q S 2008 Physica A 387 4967

    [21]

    Li P P, Zheng D F, Hui P M 2006 Phys. Rev. E 73 056128

    [22]

    Yan G, Fu Z Q, Ren J, Wang W X 2007 Phys. Rev. E 75 016108

    [23]

    Kozma B, Barrat A 2008 Phys. Rev. E 77 016102

    [24]

    Kozma B, Barrat A 2007 Physica A 41 224020

    [25]

    Zhou J, Liu Z H, Li B W 2007 Phys. Lett. A 368 458

    [26]

    Nekovee M, Moreno Y, Bianconi G, Marsili M 2007 Physica A 374 457

    [27]

    Moreno Y, Nekovee M, Pacheco A F 2004 Phys. Rev. E 69 066130

    [28]

    Wu H, Xiao J H, Wu Z Y, Yang J Z 2007 Acta Phys. Sin. 56 2037 (in Chinese) [吴 晔、 肖井华、 吴智远、 杨俊忠 2007 物理学报 56 2037]

    [29]

    Zhang L, Liu Y 2008 Acta Phys. Sin. 57 5419 (in Chinese) [张 立、 刘 云 2008 物理学报 57 5419]

  • [1]

    Newman M E J 2001 Phys. Rev. E 64 016132

    [2]

    Newman M E J 2001 Proc. Nat. Acad. Sci. 98 404

    [3]

    Jeong H, Tombor B, Albert R, Oltvai Z N, Barabasi A L 2000 Nature 407 651

    [4]

    Lee T I, Rinaldi N J, Robert F, Odom D T, Bar-Joseph Z, Gerber G K, Hannett N M, Hannett C T, Thompson C M, Simon I, Zeitlinger J, Jennings E G, Murray H L, Gordon D B, Ren B, Wyrick J J, Jean-Bosco T, Volkert T L, Fraenkel E, Gifford D K, Young R A 2002 Science 298 799

    [5]

    Dietz H, Rief M 2008 Phys. Rev. Lett. 100 098101

    [6]

    Adamic L A, Huberman B A, Barabasi A, Albert R, Jeong H, Bianconi G 2000 Science 287 2115

    [7]

    Pastor-Satorras R, Vazquez A, Vespignani A 2001 Phys. Rev. Lett. 87 258701

    [8]

    Juanico B, Sanejouand Y H 2007 Phys. Rev. Lett. 99 238104

    [9]

    Erdos P, Renyi A 1959 Publ. Math. 6 290

    [10]

    Watts D J, Strogatz S H 1998 Nature 393 440

    [11]

    Barabasi A L, Albert R 1999 Science 286 509

    [12]

    Albert R, Barabasi A L 2002 Phys. Rev. Mod. 74 47

    [13]

    Huang Z X, Wang X R, Zhu H 2004 Chin. Phys. 13 273

    [14]

    Li J, Xiao J H, Jiang P Q, Zhou T, Wang W X 2006 Acta Phys. Sin. 55 4051 (in Chinese) [李 季、 肖井华、 蒋品群、 周 涛、 王文旭 2006 物理学报 55 4051]

    [15]

    Pan Z F, Wang X F 2006 Acta Phys. Sin. 55 4058 (in Chinese) [潘灶烽、 汪小帆 2006 物理学报 55 4058]

    [16]

    Hwang D U, Boccaletti S, Moreno Y, Lopez-Ruiz R 2005 Math. Biosoi. Engng. 2 317

    [17]

    Klemm K, Eguiluz V M 2002 Phys. Rev. E 65 036123

    [18]

    Wang W X, Wang B H, Hu B, Yan G, Ou Q 2005 Phys. Rev. Lett. 94 188702

    [19]

    Jost J, Joy M P 2002 Phys. Rev. E 66 036126

    [20]

    Hu M B, Jiang R, Wu Y H, Wang W X, Wu Q S 2008 Physica A 387 4967

    [21]

    Li P P, Zheng D F, Hui P M 2006 Phys. Rev. E 73 056128

    [22]

    Yan G, Fu Z Q, Ren J, Wang W X 2007 Phys. Rev. E 75 016108

    [23]

    Kozma B, Barrat A 2008 Phys. Rev. E 77 016102

    [24]

    Kozma B, Barrat A 2007 Physica A 41 224020

    [25]

    Zhou J, Liu Z H, Li B W 2007 Phys. Lett. A 368 458

    [26]

    Nekovee M, Moreno Y, Bianconi G, Marsili M 2007 Physica A 374 457

    [27]

    Moreno Y, Nekovee M, Pacheco A F 2004 Phys. Rev. E 69 066130

    [28]

    Wu H, Xiao J H, Wu Z Y, Yang J Z 2007 Acta Phys. Sin. 56 2037 (in Chinese) [吴 晔、 肖井华、 吴智远、 杨俊忠 2007 物理学报 56 2037]

    [29]

    Zhang L, Liu Y 2008 Acta Phys. Sin. 57 5419 (in Chinese) [张 立、 刘 云 2008 物理学报 57 5419]

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Publishing process
  • Received Date:  20 November 2009
  • Accepted Date:  03 February 2010
  • Published Online:  05 May 2010

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