Abstract
In this paper, we compare the performance of representative centrality measures, classical and up-to-date, on more real networks in various fields. With the aid of SIR information diffusion model to simulate the vertices’ influence in real networks, we apply the kendall’s tau correlation coefficient, distinguishability and robustness to test different centrality measures at the same level., to show the best application scenarios for certain measure.
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Kitsak, M., Gallos, L.K., Havlin, S., Liljeros, F., Muchnik, L., Stanley, H.E., Makse, H.A.: Identification of influential spreaders in complex networks. Nat. Phys. 6(11), 888–893 (2010)
Brin, S., Page, L.: The anatomy of a largescale hypertextual web search engine. Int. Conf. World Wide Web 30(17), 107–117 (1998)
Chen, D.B., Lü, L.Y., Shang, M.S., et al.: Identifying influential nodes in complex networks. Phys. A Stat. Mech. Appl. 391(4), 1777–1787 (2012)
Gao, S., Ma, J., Chen, Z.M., et al.: Ranking the spreading ability of nodes in complex networks based on local structure. Phys. A Stat. Mech. Appl. 403(6), 130–147 (2014)
Cheng, J.J., Zhang, Y.C., Zhou, X., et al.: Extracting influential nodes in social networks on local weight aspect. Int. J. Interdisc. Telecommun. Netw. 8(2), 21–35 (2016)
Zhang, W., Xu, J., Li, Y.: A new method for identifying influential nodes and important edges in complex networks. Wuhan Univ. J. Nat. Sci. 21(3), 267–276 (2016)
Han, Z., Chen, Y., Liu, W. et al.: Social network node influence measuring method based on triangle structures. CN 105719190 A (2016)
Zhao, X., Liu, F., Wang, J., Li, T.: Evaluating influential nodes in social networks by local centrality with a coefficient. ISPRS Int. J. Geo-Inf. 6(2), 35 (2017)
Saxena, C., Doja, M.N., Ahmad, T.: Neighborhood topology to discover influential nodes in a complex Network. In: Satapathy, S.C., Bhateja, V., Udgata, Siba K., Pattnaik, P.K. (eds.) Proceedings of the 5th International Conference on Frontiers in Intelligent Computing: Theory and Applications. AISC, vol. 515, pp. 323–332. Springer, Singapore (2017). https://doi.org/10.1007/978-981-10-3153-3_32
Du, Y., et al.: A new method of identifying influential nodes in complex networks based on TOPSIS. Phys. A Stat. Mech. Appl. 399(4), 57–69 (2014)
Hu, J., et al.: A modified weighted TOPSIS to identify influential nodes in complex networks. Phys. A Stat. Mech. Appl. 444, 73–85 (2016)
Bian, T., Hu, J., Deng, Y.: Identifying influential nodes in complex networks based on AHP. Phys. A Stat. Mech. Appl. 479(4), 422–436 (2017)
Yang, Y., Xie, G.: Efficient identification of node importance in social networks. Inf. Process. Manag. 52(5), 911–922 (2016). Pergamon Press, Inc
Freeman, L.C.: A set of measures of centrality based upon betweenness. Sociometry 40(1), 35–41 (1977)
Brandes, U.: A faster algorithm for betweenness centrality. J. Math. Sociol. 25(2), 163–177 (2001)
Zachary, W.W.: An information flow model for conflict and fission in small groups. J. Anthropol. Res. 33(4), 452–473 (1977)
Gleiser, P.M., Danon, L.: Community structure in jazz. Adv. Complex Syst. 06(04), 565–573 (2003)
Newman, M.E.J.: Finding community structure in networks using the eigenvectors of matrices. Phys. Rev. E: Stat. Nonlin. Soft Matter Phys. 74(3 pt 2), 036104 (2006)
Mcauley, J., Leskovec, J.: Learning to discover social circles in ego networks. In: Advances in Neural Information Processing Systems, pp. 539–547 (2012)
Guimerà, R., Danon, L., Díaz-Guilera, A.: Self-similar community structure in a network of human interactions. Phys. Rev. E: Stat. Nonlin. Soft Matter Phys. 68(6 Pt 2), 065103 (2003)
Xie, N.: Social Network Analysis of Blogs. University of Bristol, Bristol (2006)
Leskovec, J., Kleinberg, J., Faloutsos, C.: Graph evolution: densification and shrinking diameters. ACM Trans. Knowl. Discov. Data 1(1), 2 (2007)
Boguñá, M., et al.: Models of social networks based on social distance attachment. Phys. Rev. E: Stat. Nonlin. Soft Matter Phys. 70(2), 056122 (2004)
Hopcroft, J., Lou, T., Tang, J.: Who will follow you back?: reciprocal relationship prediction. In: ACM Conference on Information and Knowledge Management, CIKM 2011, Glasgow, UK, pp. 1137–1146. ACM, October 2011
Richardson, M., Agrawal, R., Domingos, P.: Trust management for the semantic web. In: Fensel, D., Sycara, K., Mylopoulos, J. (eds.) ISWC 2003. LNCS, vol. 2870, pp. 351–368. Springer, Heidelberg (2003). https://doi.org/10.1007/978-3-540-39718-2_23
Leskovec, J., Lang, K.J., Dasgupta, A., et al.: Community structure in large networks: natural cluster sizes and the absence of large well-defined clusters. Internet Math. 6(1), 29–123 (2009)
Shu, P., Wang, W., Tang, M., et al.: Numerical identification of epidemic thresholds for susceptible-infected-recovered model on finite-size networks. Chaos 25(6) (2015)
Lü, L., et al.: The H-index of a network node and its relation to degree and coreness. Nat. Commun. 7, 10168 (2016)
Dorogovtsev, S.N., Goltsev, A.V., Mendes, J.F.: Critical phenomena in complex networks. Rev. Mod. Phys. 80(4), 1275–1335 (2007)
Newman, M.: Networks: An Introduction. OUP Oxford, Oxford (2010). vol. 327, no. 8, pp. 741–743
Kendall, M.G.: A new measure of rank correlation. Biometrika 30(1/2), 81–93 (1938)
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Meng, F., Gu, Y., Fu, S., Wang, M., Guo, Y. (2017). Comparison of Different Centrality Measures to Find Influential Nodes in Complex Networks. In: Wang, G., Atiquzzaman, M., Yan, Z., Choo, KK. (eds) Security, Privacy, and Anonymity in Computation, Communication, and Storage. SpaCCS 2017. Lecture Notes in Computer Science(), vol 10658. Springer, Cham. https://doi.org/10.1007/978-3-319-72395-2_38
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