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The identifying of influential nodes in large-scale complex networks is an important issue in optimizing network structure and enhancing robustness of a system. To measure the role of nodes, classic methods can help identify influential nodes, but they have some limitations to social networks. Local metric is simple but it can only take into account the neighbor size, and the topological connections among the neighbors are neglected, so it can not reflect the interaction between the nodes. The global metrics is difficult to use in large social networks because of the high computational complexity. Meanwhile, in the classic methods, the unique community characteristics of the social networks are not considered. To make a trade off between affections and efficiency, a local structural centrality measure is proposed which is based on nodes' a nd their ‘neighbors’ structural holes. Both the node degree and “bridge” property are reflected in computing node constraint index. SIR (Susceptible-Infected-Recovered) model is used to evaluate the ability to spread nodes. Simulations of four real networks show that our method can rank the capability of spreading nodes more accurately than other metrics. This algorithm has strong robustness when the network is subjected to sybil attacks.
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Keywords:
- complex networks /
- structural holes /
- community structure /
- influential node centrality measure
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[5] Overington J P, Al-Lazikani B, Hopkins A L 2006 Nature Reviews Drug Discovery 5 993
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[19] Zeng A, Zhang C J 2013 Phys. Lett. A 377 1031
[20] Ren Z M, Liu J G, Shao F, Hu Z L, Guo Q 2013 Acta Phys. Sin. 62 108902
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[22] Palla G, Barabási A L, Vicsek T 2007 Nature 446 664
[23] Zhao Z Y, Yu H, Zhu Z L, Wang X F 2014 Chin. J. Comput. 37 753 (in Chinese) [赵之滢, 于海, 朱志良, 汪小帆 2014 计算机学报 37 753]
[24] Burt R S 2009 Structural Holes: The Social Structure of Competition (London: Harvard University Press) pp53-58
[25] Burt R S, Kilduff M, Tasselli S 2013 Ann. Rev. Psychol. 64 527
[26] Ugander J, Backstrom L, Marlow C, Kleinberg J 2012 PNAS 109 5962
[27] Sun Y, Liu C, Zhang C, Zhang Z 2014 Phys. Lett. A 378 635
[28] Liu C, Zhang Z 2014 Commun. Nonlinear Sci. Numer. Simulat. 19 896
[29] Zhang Z K, Zhang C X, Han X P, Liu C 2014 PloS one 9 e95785
[30] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. Lett. 86 3200
[31] Knight W R 1966 J. Amer. Statist. Associat. 61 436
[32] L L Y, Zhang Y C, Yeung C H, Zhou T 2011 PloS One 6 e21202
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[1] Wang L, Wang J, Shen H W, Cheng X Q 2013 Chin. Phys. B 22 108903
[2] Iyer S, Killingback T, Sundaram B, Wang Z 2013 PloS one 8 e59613
[3] Konstantin K, Ángeles S M, San M M 2012 Scientific Reports 2 292
[4] Page L, Brin S, Motwani R, Winograd T 1999 Stanford InfoLab
[5] Overington J P, Al-Lazikani B, Hopkins A L 2006 Nature Reviews Drug Discovery 5 993
[6] Yıldırım M A, Goh K I, Cusick M E, Barabási A L, Vidal M 2007 Nature Biotechnol. 25 1119
[7] Liu J G, Ren Z M, Guo Q, Wang B H 2013 Acta Phys. Sin. 62 178901 (in Chinese) [刘建国, 任卓明, 郭强, 汪秉宏 2013 62 178901]
[8] Ren X L, L L Y 2014 Chin. Sci. Bull. 59 1175 (in Chinese) [任晓龙, 吕琳媛 2014 科学通报 59 1175]
[9] Albert R, Jeong H, Barabási A L 2000 Nature 406 378
[10] Freeman L C 1977 Sociometry 40 35
[11] Krackhardt D 1990 Administr. Sci. Quart. 35 342
[12] Kitsak M, Gallos L K, Havlin S, Liljeros F, Muchnik L, Stanley H E, Makse H A 2010 Nature Phys. 6 888
[13] Chen D B, L L Y, Shang M S, Zhang Y C, Zhou T 2012 Physica A: Statist. Mech. Appl. 391 1777
[14] Chen D B, Gao H, L L Y, Zhou T 2013 PloS one 8 e77455
[15] Hu Q C, Yin Y S, Ma P F, Gao Y, Zhang Y, Xing C X 2013 Acta Phys. Sin. 62 140101 (in Chinese) [胡庆成, 尹龑燊, 马鹏斐, 高旸, 张勇, 邢春晓 2013 62 140101]
[16] Cheng X Q, Ren F X, Shen H W, Zhang Z K, Zhou T 2010 J. Statist. Mech.: Theory and Experiment 2010 P10011
[17] Bae J, Kim S 2014 Physica A: Statist. Mech. Appl. 395 549
[18] Liu J G, Ren Z M, Guo Q 2013 Physica A: Statist. Mech. Appl. 392 4154
[19] Zeng A, Zhang C J 2013 Phys. Lett. A 377 1031
[20] Ren Z M, Liu J G, Shao F, Hu Z L, Guo Q 2013 Acta Phys. Sin. 62 108902
[21] Borge-Holthoefer J, Moreno Y 2012 Phys. Rev. E 85 026116
[22] Palla G, Barabási A L, Vicsek T 2007 Nature 446 664
[23] Zhao Z Y, Yu H, Zhu Z L, Wang X F 2014 Chin. J. Comput. 37 753 (in Chinese) [赵之滢, 于海, 朱志良, 汪小帆 2014 计算机学报 37 753]
[24] Burt R S 2009 Structural Holes: The Social Structure of Competition (London: Harvard University Press) pp53-58
[25] Burt R S, Kilduff M, Tasselli S 2013 Ann. Rev. Psychol. 64 527
[26] Ugander J, Backstrom L, Marlow C, Kleinberg J 2012 PNAS 109 5962
[27] Sun Y, Liu C, Zhang C, Zhang Z 2014 Phys. Lett. A 378 635
[28] Liu C, Zhang Z 2014 Commun. Nonlinear Sci. Numer. Simulat. 19 896
[29] Zhang Z K, Zhang C X, Han X P, Liu C 2014 PloS one 9 e95785
[30] Pastor-Satorras R, Vespignani A 2001 Phys. Rev. Lett. 86 3200
[31] Knight W R 1966 J. Amer. Statist. Associat. 61 436
[32] L L Y, Zhang Y C, Yeung C H, Zhou T 2011 PloS One 6 e21202
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