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现有研究表明明显的社团结构会显著降低网络的传输性能. 本文基于网络邻接矩阵的特征谱定义了链路对网络社团特性的贡献度, 提出一种通过逻辑关闭或删除对网络社团特性贡献度大的链路以提高网络传输性能的拓扑管理策略, 即社团弱化控制策略(CWCS 策略). 在具有社团结构的无标度网络上分别进行了基于全局最短路径路由和局部路由的仿真实验, 并与关闭连接度大的节点之间链路的HDF 策略进行了比较. 仿真实验结果显示, 在全局最短路径路由策略下, CWCS策略能更有效地提高网络负载容量, 并且网络的平均传输时间增加的幅度变小. 在局部路由策略下, 当调控参数02, 对网络负载容量的提升优于HDF策略.Previous research has shown that the community structure of the network well significantly affect information transmission, and the obvious community structure will significantly reduce the network transmission performance. To address the problem, first we define the link importance to communities, which is based on the spectrum of network adjacency matrix. Then we propose a topological management strategy called community weaken control strategy (CWCS) to enhance traffic capacity, which weakens the community structures by logically closing or cutting some links with great link importance. We implement the scheme in both a global shortest-path routing strategy and local routing strategy, and compare it with the previous scheme HDF that removes the links among hub nodes. The simulation results show that the traffic capacity can be greatly enhanced and the average transport time is effectively reduced under the shortest path routing strategy. Under the local routing strategy, the traffic capacity can also be greatly enhanced when the tunable parameter lies in a range from 0 and 2.
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Keywords:
- complex network /
- community structure /
- traffic capacity /
- topological management
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[1] Newman M E J 2004 Eur. Phys. J. B 38 321
[2] Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D 2006 Phys. Rep. 424 175
[3] Zhou T, Bai W J, Wang B H, Liu Z J, Yan G 2005 Physics 34 31 (in Chinese) [周涛, 柏文洁, 汪秉宏, 刘之景, 严钢 2005 物理 34 31]
[4] Chen H L, Liu Z X, Chen Z Q, Yuan Z Z 2009 Acta Phys. Sin. 58 6068 (in Chinese) [陈华良, 刘忠信, 陈增强, 袁著祉 2009 物理学报 58 6068]
[5] Li T, Pei W J, Wang S P 2009 Acta Phys. Sin. 58 5903 (in Chinese) [李涛, 斐文江, 王少平 2009 物理学报 58 5903]
[6] Pu C L, Zhou S Y, Wang K 2012 Physical A 391 866
[7] Leon D, Alex A, Guilera A 2008 Phys. Rev. E 77 036103
[8] Shao F, Jiang G P 2011 Acta Phys. Sin. 60 078902 (in Chinese) [邵斐, 蒋国平 2009 物理学报 60 078902]
[9] Zoltán T, Kevin E 2004 Nature 428 716
[10] Arenas A, Díaz-Guilera A, Guimerá R 2001 Phys. Rev. Lett. 86 3196
[11] Zhao L, Lai Y C, Park K, Ye N 2005 Phys. Rev. E 71 026125
[12] Guimerá R, Díaz-Guilera A, Vega-Redondo A 2002 Phys. Rev. Lett. 89 248701
[13] Liu Z, Hu M B, Wang W X, Wu Q S 2007 Phys. Rev. E 76 037101
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[15] Zhou M Y, Cai S M, Fu Z Q 2012 Physica A 391 1887
[16] Guimerá R, Arenasb A, Díaz-Guilera A 2001 Physica A 299 247
[17] Yin C Y, Wang B H, Wang W X 2006 Phys. Lett. A 351 220
[18] Newman M E J 2004 Phys. Rev. E 69 026113
[19] Guimerá R, Amaral L 2005 Nature 433 895
[20] Chanuhan S, Girvan M, Ott E 2009 Phys. Rev. E 80 056114
[21] Fortunato S 2010 Phys. Rep. 486 75
[22] Yan G, Fu Z Q, Ren J 2007 Phys. Rev. E 75 016108
[23] Wang W X, Wang B H, Yin C Y 2007 Phys. Rev. E 73 026111
[24] Newman M E J 2010 Networks: An Introduction (Oxford UK: Oxford University Press) p346
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