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The node importance measurement plays an important role in analyzing the robustness of the network. Most researchers use the degree or clustering coefficient to measure the node importance. However, the degree can only take into account the neighbor size, regardless of the clustering property of the neighbors. The clustering coefficient could only measure the closeness among the neighbors and neglect the activity of the target node. In this paper, we present a new method to measure the node importance by combining neighbor and clustering coefficient information. The robustness results measured by the network efficiency through removing the important nodes for the US Air network, the power grid of the western United States and Barabasi-Albert networks show that the new method can more accurately evaluate the node importance than the degree, neighbor information and k-shell indices.
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Keywords:
- network science /
- robustness /
- node importance /
- clustering coefficient
[1] Newman M E J 2003 SIAM Rev. 45 167
[2] Barabasi A L 2009 Science 325 412
[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] Liu J G, Wang Z T, Dang Y Z 2005 Mod. Phys. Lett. B 19 785
[5] Zhou X, Zhang F M, Zhou W P, Zhou W, Yang F 2012 Acta Phys. Sin. 61 190201 (in Chinese) [周漩, 张凤鸣, 周卫平, 邹伟, 杨帆 2012 61 190201]
[6] Tan Y J, Wu J, Deng H Z, Zhu D Z 2006 Syst. Eng. 24 1 (in Chinese) [谭跃进, 吴俊, 邓宏钟, 朱大智 2006系统工程 24 1]
[7] Liu H K, Zhou T 2007 Acta Phys. Sin. 56 106 (in Chinese) [刘宏鲲, 周涛 2007 56 106]
[8] Jeong H, Mason S, Barabasi A L 2001 Nature 411 41
[9] Dunne J A, Williams R J, Martinez N D 2002 Ecol. Lett. 5 558
[10] Newman M E J, Forrest S, Balthrop A 2002 J. Phys. Rev. E 66 035101
[11] Magoni D 2003 IEEE J. Sel. Area. Commun. 21 949
[12] Samant K, Bhattacharyya S 2004 Proceedings of the 37th Annual Hawaii International Conference on System Sciences Washington, USA, January 5-8, 2004 p289
[13] Freeman L C 1977 Sociometry 40 35
[14] Holme P, Kim B J, Yoon C N, Han S K 2002 Phys. Rev. E 65 056109
[15] L L Y, Zhang Y C, Yeung C H, Zhou T 2011 PLoS One 6 e21202
[16] Bryan K, Leise T 2006 SIAM Rev. 48 569
[17] Kitsak M, Gallos L K, Havlin S, Liljeros F, Muchnik L, Stanley H E, Makse H A 2010 Nat. Phys. 6 888
[18] Barabasi A L, Albert R 1999 Science 286 509
[19] Zeng A, Zhang C J 2013 Phys. Lett. A 377 1031
[20] Chen D B, Lv L Y, Shang M S, Zhang Y C, Zhou T 2011 Physica A 391 1777
[21] Centola D 2010 Science 329 1194
[22] Watts D J, Strogatz S H 1998 Nature 393 440
[23] Ugander J, Backstrom L, Marlow C, Kleinberg J 2012 Proc. Natl. Acad. Sci. 109 5962
[24] Codd E F 1970 Commun. ACM 13 377
[25] Vragovic I, Louis E, Diaz-Guilera A 2005 Phys. Rev. E 71 036122
[26] Latora V, Marchiori M 2007 New J. Phys. 9 188
[27] Li P X, Ren Y Q, Xi Y M, 2004 Syst. Eng. 22 13 (in Chinese) [李鹏翔, 任玉晴, 席酉民 系统工程 2004 22 13]
[28] He N, Li D, Gan W Y, Zhu X 2007 Comput. Sci. 34 1 (in Chinese) [赫南, 李德, 淦文燕, 朱熙 2007计算机科学 34 1]
[29] Batagelj V, Mrvar A 1998 Connections 21 47
[30] Strogatz S H 1998 Nature 393 440
[31] Klemm K, Serrano M, Eguiluz V, Miguel M 2012 Sci. Rep. 2 292
[32] Borge-Holthoefer J, Moreno Y 2012 Phys. Rev. E 85 026116
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[1] Newman M E J 2003 SIAM Rev. 45 167
[2] Barabasi A L 2009 Science 325 412
[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] Liu J G, Wang Z T, Dang Y Z 2005 Mod. Phys. Lett. B 19 785
[5] Zhou X, Zhang F M, Zhou W P, Zhou W, Yang F 2012 Acta Phys. Sin. 61 190201 (in Chinese) [周漩, 张凤鸣, 周卫平, 邹伟, 杨帆 2012 61 190201]
[6] Tan Y J, Wu J, Deng H Z, Zhu D Z 2006 Syst. Eng. 24 1 (in Chinese) [谭跃进, 吴俊, 邓宏钟, 朱大智 2006系统工程 24 1]
[7] Liu H K, Zhou T 2007 Acta Phys. Sin. 56 106 (in Chinese) [刘宏鲲, 周涛 2007 56 106]
[8] Jeong H, Mason S, Barabasi A L 2001 Nature 411 41
[9] Dunne J A, Williams R J, Martinez N D 2002 Ecol. Lett. 5 558
[10] Newman M E J, Forrest S, Balthrop A 2002 J. Phys. Rev. E 66 035101
[11] Magoni D 2003 IEEE J. Sel. Area. Commun. 21 949
[12] Samant K, Bhattacharyya S 2004 Proceedings of the 37th Annual Hawaii International Conference on System Sciences Washington, USA, January 5-8, 2004 p289
[13] Freeman L C 1977 Sociometry 40 35
[14] Holme P, Kim B J, Yoon C N, Han S K 2002 Phys. Rev. E 65 056109
[15] L L Y, Zhang Y C, Yeung C H, Zhou T 2011 PLoS One 6 e21202
[16] Bryan K, Leise T 2006 SIAM Rev. 48 569
[17] Kitsak M, Gallos L K, Havlin S, Liljeros F, Muchnik L, Stanley H E, Makse H A 2010 Nat. Phys. 6 888
[18] Barabasi A L, Albert R 1999 Science 286 509
[19] Zeng A, Zhang C J 2013 Phys. Lett. A 377 1031
[20] Chen D B, Lv L Y, Shang M S, Zhang Y C, Zhou T 2011 Physica A 391 1777
[21] Centola D 2010 Science 329 1194
[22] Watts D J, Strogatz S H 1998 Nature 393 440
[23] Ugander J, Backstrom L, Marlow C, Kleinberg J 2012 Proc. Natl. Acad. Sci. 109 5962
[24] Codd E F 1970 Commun. ACM 13 377
[25] Vragovic I, Louis E, Diaz-Guilera A 2005 Phys. Rev. E 71 036122
[26] Latora V, Marchiori M 2007 New J. Phys. 9 188
[27] Li P X, Ren Y Q, Xi Y M, 2004 Syst. Eng. 22 13 (in Chinese) [李鹏翔, 任玉晴, 席酉民 系统工程 2004 22 13]
[28] He N, Li D, Gan W Y, Zhu X 2007 Comput. Sci. 34 1 (in Chinese) [赫南, 李德, 淦文燕, 朱熙 2007计算机科学 34 1]
[29] Batagelj V, Mrvar A 1998 Connections 21 47
[30] Strogatz S H 1998 Nature 393 440
[31] Klemm K, Serrano M, Eguiluz V, Miguel M 2012 Sci. Rep. 2 292
[32] Borge-Holthoefer J, Moreno Y 2012 Phys. Rev. E 85 026116
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