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In this article, a global routing method is proposed for weighted scale-free networks. To bypass the central nodes and alleviate the congestion, it chooses the best route according to the minimum value of the cost function which is based on the node strength. Simulation results show that the network capacity is improved more than 10 times by our method than by the shortest path strategy at the cost of a slightly growth in the average path-length.
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Keywords:
- weighted scale-free network /
- routing /
- network capacity /
- node strength
[1] ［1］Barabsi A L, Albert R 2002 Rev. Mod. Phys. 74 47
[2] ［2］Newman M E J 2003 SIAM Rev. 45 167
[3] ［3］Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D U 2006 Phys. Rep. 424 175
[4] ［4］Li J, Wang B H, Jiang P Q, Zhou T, Wang W X 2006 Acta Phys. Sin. 55 4051 (in Chinese) ［李季、汪秉宏、蒋品群、周涛、王文旭 2006 55 4051］
[5] ［5］Zanette D H 2002 Phys. Rev. E 65 041908
[6] ［6］Moreno Y, Gómez J B, Pacheco A F 2003 Phys. Rev. E 68 035103
[7] ［7］Xu D, Li X, Wang X F 2007 Acta Phys. Sin. 56 1313 (in Chinese)［许丹、李翔、汪小帆 2007 56 1313］
[8] ［8］Huang W, Jiang R, Hu M B, Wu Q S 2009 Chin. Phys. B 18 1306
[9] ［9］Jin Z, Liu Q X, Mainul H 2007 Chin. Phys. 16 1267
[10] ］Wu Z X, Wang Y H 2007 Phys. Rev. E 75 041114
[11] ］Zhao M, Wang B H, Jiang P Q, Zhou T 2005 Prog. Phys. 25 273 (in Chinese) ［赵明、汪秉宏、蒋品群、周涛 2005 物理学进展 25 273］
[12] ］Sorrentino F, Ott E 2008 Phys. Rev. Lett. 100 114101
[13] ］Luo Q, Wu W, Li L X, Yang Y X, Peng H P 2008 Acta Phys. Sin. 57 1529 (in Chinese)［罗群、吴薇、李丽香、杨义先、彭海朋 2008 57 1529］
[14] ］Lü L, Zhang C 2009 Acta Phys. Sin. 58 1462（in Chinese）［吕翎、张超 2009 58 1462］
[15] ］Dobson I, Carreras B A, Newman D E 2005 Prob. Eng. Inform. Sci. 19 15
[16] ］Wang W X, Chen G R 2008 Phys. Rev. E 77 026101
[17] ］Ouyang M, Fei Q, Yu M H 2008 Acta Phys. Sin. 57 6763 （in Chinese）［欧阳敏、费奇、余明晖 2008 57 6763］
[18] ］Kleinberg J 2000 Proceedings of the 32nd Annual ACM Symposium on Theory of Computing (New York: ACM) p163
[19] ］Adamic L A, Lukose R M, Puniyani A R, Huberman B A 2001 Phys. Rev. E 64 046135
[20] ］Lü Q, Cao P, Cohen E, Li K, Shenker S 2002 Proceedings of the 16th ACM International Conference on Supercomputing (New York: ACM) p84
[21] ］Noh J D 2004 Phys. Rev. Lett. 92 11
[22] ］Wang S P, Pei W J 2008 Physica A 387 4699
[23] ］Yang S J 2005 Phys. Rev. E 71 016107
[24] ］Zhou T 2008 Physica A 387 3025
[25] ］Kim B J, Yoon C N, Han S K, Jeong H 2002 Phys. Rev. E 65 027103
[26] ］Thadakamalla H P, Albert R, Kumara S R T 2005 Phys. Rev. E 72 066128
[27] ］Yan G, Zhou T, Hu B, Fu Z Q, Wang B H 2006 Phys. Rev. E 73 046108
[28] ］Wang W X, Yin C Y, Yan G, Wang B H 2006 Phys. Rev. E 74 016101
[29] ］Chen Z Y, Wang X F 2006 Phys. Rev. E 73 036107
[30] ］Zhang G Q, Wang D, Li G J 2007 Phys. Rev. E 76 017101
[31] ］Danila B, Yu Y, Marsh J A, Bassler K E 2006 Phys. Rev. E 74 046106
[32] ］Yin C Y, Wang B H, Wang W X, Yan G, Yang H J 2006 Eur. Phys. J. B 49 205
[33] ］Wang W X, Wang B H, Yin C Y, Xie Y B, Zhou T 2006 Phys. Rev. E 73 026111
[34] ］Wang W X, Wang B H, Hu B, Yan G, Ou Q 2005 Phys. Rev. Lett. 94 188702
[35] ］Arenas A, Díaz-Guilera A, Guimera′ R 2001 Phys. Rev. Lett. 86 3196
[36] ］Hu M B, Jiang R, Wu Y H, Wang W X, Wu Q S 2008 Physica A 387 4967
[37] ］Zhao L, Lai Y C, Park K, Ye N 2005 Phys. Rev. E 71 026125
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[1] ［1］Barabsi A L, Albert R 2002 Rev. Mod. Phys. 74 47
[2] ［2］Newman M E J 2003 SIAM Rev. 45 167
[3] ［3］Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D U 2006 Phys. Rep. 424 175
[4] ［4］Li J, Wang B H, Jiang P Q, Zhou T, Wang W X 2006 Acta Phys. Sin. 55 4051 (in Chinese) ［李季、汪秉宏、蒋品群、周涛、王文旭 2006 55 4051］
[5] ［5］Zanette D H 2002 Phys. Rev. E 65 041908
[6] ［6］Moreno Y, Gómez J B, Pacheco A F 2003 Phys. Rev. E 68 035103
[7] ［7］Xu D, Li X, Wang X F 2007 Acta Phys. Sin. 56 1313 (in Chinese)［许丹、李翔、汪小帆 2007 56 1313］
[8] ［8］Huang W, Jiang R, Hu M B, Wu Q S 2009 Chin. Phys. B 18 1306
[9] ［9］Jin Z, Liu Q X, Mainul H 2007 Chin. Phys. 16 1267
[10] ］Wu Z X, Wang Y H 2007 Phys. Rev. E 75 041114
[11] ］Zhao M, Wang B H, Jiang P Q, Zhou T 2005 Prog. Phys. 25 273 (in Chinese) ［赵明、汪秉宏、蒋品群、周涛 2005 物理学进展 25 273］
[12] ］Sorrentino F, Ott E 2008 Phys. Rev. Lett. 100 114101
[13] ］Luo Q, Wu W, Li L X, Yang Y X, Peng H P 2008 Acta Phys. Sin. 57 1529 (in Chinese)［罗群、吴薇、李丽香、杨义先、彭海朋 2008 57 1529］
[14] ］Lü L, Zhang C 2009 Acta Phys. Sin. 58 1462（in Chinese）［吕翎、张超 2009 58 1462］
[15] ］Dobson I, Carreras B A, Newman D E 2005 Prob. Eng. Inform. Sci. 19 15
[16] ］Wang W X, Chen G R 2008 Phys. Rev. E 77 026101
[17] ］Ouyang M, Fei Q, Yu M H 2008 Acta Phys. Sin. 57 6763 （in Chinese）［欧阳敏、费奇、余明晖 2008 57 6763］
[18] ］Kleinberg J 2000 Proceedings of the 32nd Annual ACM Symposium on Theory of Computing (New York: ACM) p163
[19] ］Adamic L A, Lukose R M, Puniyani A R, Huberman B A 2001 Phys. Rev. E 64 046135
[20] ］Lü Q, Cao P, Cohen E, Li K, Shenker S 2002 Proceedings of the 16th ACM International Conference on Supercomputing (New York: ACM) p84
[21] ］Noh J D 2004 Phys. Rev. Lett. 92 11
[22] ］Wang S P, Pei W J 2008 Physica A 387 4699
[23] ］Yang S J 2005 Phys. Rev. E 71 016107
[24] ］Zhou T 2008 Physica A 387 3025
[25] ］Kim B J, Yoon C N, Han S K, Jeong H 2002 Phys. Rev. E 65 027103
[26] ］Thadakamalla H P, Albert R, Kumara S R T 2005 Phys. Rev. E 72 066128
[27] ］Yan G, Zhou T, Hu B, Fu Z Q, Wang B H 2006 Phys. Rev. E 73 046108
[28] ］Wang W X, Yin C Y, Yan G, Wang B H 2006 Phys. Rev. E 74 016101
[29] ］Chen Z Y, Wang X F 2006 Phys. Rev. E 73 036107
[30] ］Zhang G Q, Wang D, Li G J 2007 Phys. Rev. E 76 017101
[31] ］Danila B, Yu Y, Marsh J A, Bassler K E 2006 Phys. Rev. E 74 046106
[32] ］Yin C Y, Wang B H, Wang W X, Yan G, Yang H J 2006 Eur. Phys. J. B 49 205
[33] ］Wang W X, Wang B H, Yin C Y, Xie Y B, Zhou T 2006 Phys. Rev. E 73 026111
[34] ］Wang W X, Wang B H, Hu B, Yan G, Ou Q 2005 Phys. Rev. Lett. 94 188702
[35] ］Arenas A, Díaz-Guilera A, Guimera′ R 2001 Phys. Rev. Lett. 86 3196
[36] ］Hu M B, Jiang R, Wu Y H, Wang W X, Wu Q S 2008 Physica A 387 4967
[37] ］Zhao L, Lai Y C, Park K, Ye N 2005 Phys. Rev. E 71 026125
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