Abstract
Identifying influential spreaders is an important issue for capturing the dynamics of information diffusion in temporal networks. Most of the identification of influential spreaders in previous researches were focused on analysing static networks, rarely highlighted on dynamics. However, those measures which are proposed for static topologies only, unable to faithfully capture the effect of temporal variations on the importance of nodes. In this paper, a shortest temporal path algorithm is proposed for calculating the minimum time that information interaction between nodes. This algorithm can effectively find out the shortest temporal path when considering the network integrity. On the basis of this, the temporal efficiency centrality (TEC) algorithm in temporal networks is proposed, which identify influential nodes by removing each node and taking the variation of the whole network into consideration at the same time. To evaluate the effectiveness of this algorithm, we conduct the experiment on four real-world temporal networks for Susceptible-Infected-Recovered (SIR) model. By employing the imprecision and the Kendall’s au coefficient, The results show that this algorithm can effectively evaluate the importance of nodes in temporal networks.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Boccaletti, S., et al.: The structure and dynamics of multilayer networks. Phys. Rep. 544(1), 1–122 (2014)
Boyer, J.: The fibonacci heap (1997)
Castellano, C., Pastorsatorras, R.: Thresholds for epidemic spreading in networks. Phys. Rev. Lett. 105(21), 218701 (2010)
Dijkstra, E.W.: A note on two problems in connexion with graphs. Numerische Mathematik 1, 269–271 (1959)
Eckmann, J.P., Moses, E., Sergi, D.: Entropy of dialogues creates coherent structures in e-mail traffic. Proc. Natl. Acad. Sci. USA 101(40), 14333–14337 (2004)
Ferreira, A.: Building a reference combinatorial model for MANETs. IEEE Netw. 18(5), 24–29 (2004)
Freeman, L.C.: A set of measures of centrality based on betweenness. Sociometry 40(1), 35–41 (1977)
Freeman, L.C.: Centrality in social networks conceptual clarification. Soc. Netw. 1(3), 215–239 (1978)
Freeman, L.C.: Generality in social networks: conceptual clarification. Soc. Netw. 1, 215–239 (1979)
Holme, P.: Modern temporal network theory: a colloquium. Eur. Phys. J. B 88(9), 1–30 (2015)
Holme, P., Saramki, J.: Temporal networks. Phys. Rep. 519(3), 97–125 (2011)
Huang, D.W., Zu Guo, Y.: Dynamic-sensitive centrality of nodes in temporal networks. Sci. Rep. 7, 41454 (2017)
Huang, Q., Zhao, C., Zhang, X., Yi, D.: Locating the source of spreading in temporal networks. Phys. A Stat. Mech. Appl. 468, 434–444 (2016)
Ingerman, P.Z.: Algorithm 141: path matrix. Commun. ACM 5(11), 556–556 (1962)
Iribarren, J.L., Moro, E.: Impact of human activity patterns on the dynamics of information diffusion. Phys. Rev. Lett. 103(3), 038702 (2009)
Isella, L., Stehl, J., Barrat, A., Cattuto, C., Pinton, J.F., Van den Broeck, W.: What’s in a crowd? Analysis of face-to-face behavioral networks. J. Theor. Biol. 271(1), 166–80 (2011)
Jeong, H., Mason, S.P., Barabasi, A.L., Oltvai, Z.N.: Lethality and centrality in protein networks. Nature 411(6833), 41–42 (2001)
Jordn, F., Okey, T.A., Bauer, B., Libralato, S.: Identifying important species: linking structure and function in ecological networks. Ecol. Model. 216(1), 75–80 (2008)
Kempe, D., Kleinberg, J., Kumar, A.: Connectivity and inference problems for temporal networks. In: ACM Symposium on Theory of Computing, pp. 504–513 (2000)
Kim, H., Anderson, R.: Temporal node centrality in complex networks. Phys. Rev. E 85(2 Pt 2), 026107 (2012)
Kitsak, M., et al.: Identification of influential spreaders in complex networks. Nat. Phys. 6(11), 888–893 (2010)
Klemm, K., Serrano, M., Eguluz, V.M., Miguel, M.S.: A measure of individual role in collective dynamics. Sc. Rep. 2(2), 292 (2012)
Knight, W.R.: A computer method for calculating kendall’s tau with ungrouped data. J. Am. Stat. Assoc. 61(314), 436–439 (1966)
Lahiri, M., Berger-Wolf, T.Y.: Mining periodic behavior in dynamic social networks. In: Eighth IEEE International Conference on Data Mining, pp. 373–382 (2009)
Liu, Y., Tang, M., Zhou, T., Do, Y.: Core-like groups result in invalidation of identifying super-spreader by k-shell decomposition. Sci. Rep. 5, 9602 (2014)
Michalski, R., Palus, S., Kazienko, P.: Matching organizational structure and social network extracted from email communication. In: Abramowicz, W. (ed.) BIS 2011. LNBIP, vol. 87, pp. 197–206. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-21863-7_17
Eagle, N., Pentland, A.: Reality mining: sensing complex social systems. J. Pers. Ubiquit. Comput. 10, 255–268 (2005)
Newman, M.E.: Spread of epidemic disease on networks. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 66(1 Pt 2), 016128 (2002)
Ogura, M., Preciado, V.M.: Katz centrality of Markovian temporal networks: analysis and optimization. In: American Control Conference (2017)
Ozgr, A., Vu, T., Erkan, G., Radev, D.R.: Identifying gene-disease associations using centrality on a literature mined gene-interaction network. Bioinformatics 24(13), i277 (2008)
Pan, R.K., Saramki, J.: Path lengths, correlations, and centrality in temporal networks. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 84(2), 1577–1589 (2011)
Perra, N., Gonalves, B., Pastorsatorras, R., Vespignani, A.: Activity driven modeling of time varying networks. Sci. Rep. 2(6), 469 (2012)
Rocha, L.E.C., Masuda, N.: Random walk centrality for temporal networks. New J. Phys. 16(6) (2014)
Sabidussi, G.: The centrality index of a graph. Psychometrika 31(4), 581–603 (1966)
Takaguchi, T., Sato, N., Yano, K., Masuda, N.: Importance of individual events in temporal networks. New J. Phys. 14(9), 2750–2753 (2012)
Tang, J., Scellato, S., Musolesi, M., Mascolo, C., Latora, V.: Small-world behavior in time-varying graphs. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 81(2), 055101 (2010)
Tang, J., Musolesi, M., Mascolo, C., Latora, V., Nicosia, V.: Analysing information flows and key mediators through temporal centrality metrics. In: The Workshop on Social Network Systems, p. 3 (2010)
Taylor, D., Myers, S.A., Clauset, A., Porter, M.A., Mucha, P.J.: Eigenvector-based centrality measures for temporal networks. Physics (2015)
Vazquez, A., Racz, B., Barabsi, A.L.: Impact of non-Poissonian activity patterns on spreading processes. Phys. Rev. Lett. 98(15), 158702 (2007)
Wang, S., Du, Y., Deng, Y.: A new measure of identifying influential nodes: Efficiency centrality. Commun. Nonlinear Sci. Numer. Simul. 47, 151–163 (2017)
Zhong, L., Gao, C., Zhang, Z., Shi, N., Huang, J.: A multiple attributes fusion method. In: Identifying Influential Nodes in Complex Networks (2014)
Acknowledgements
This work was supported by National Natural Science Foundation of China (No. 61571143, No. 61261017and No. 61561014); Key Laboratory of Cognitive Radio and Information Processing, Ministry of Education (No. CRKL150112); Guangxi Cooperative Innovation Center of cloud computing and Big Data (No. YD1716); Guangxi Colleges and Universities Key Laboratory of cloud computing and complex systems; Guangxi Key Laboratory of Cryptography and Information Security (No. GCIS201613, No. GCIS201612).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Xue, K., Wang, J. (2018). Identifying Influential Spreaders by Temporal Efficiency Centrality in Temporal Network. In: Sun, X., Pan, Z., Bertino, E. (eds) Cloud Computing and Security. ICCCS 2018. Lecture Notes in Computer Science(), vol 11067. Springer, Cham. https://doi.org/10.1007/978-3-030-00018-9_33
Download citation
DOI: https://doi.org/10.1007/978-3-030-00018-9_33
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-00017-2
Online ISBN: 978-3-030-00018-9
eBook Packages: Computer ScienceComputer Science (R0)