A model for dynamic communicators

European Journal of Applied Mathematics

Volumn 23, Issue 6, 2012, Pages 659-668

  Mantzaris, Alexander V ^a   Higham, Desmond J ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

Complex networks; Social networks; Stochastic models

Indexed keywords

COMPLEX NETWORKS; CONNECTIVITY STRUCTURES; DYNAMIC NETWORK; HUMAN BEHAVIOURS; SOCIAL NETWORKS; TIME VARYING; VOICE CALLS;

STOCHASTIC MODELS;

EID: 84869413422     PISSN: 09567925     EISSN: 14694425     Source Type: Journal    
DOI: 10.1017/S0956792512000186     Document Type: Article

References (31)

1. Bajardi, P., Barrat, A., Natale, F., Savini, L. & Colizza, V. (2011) Dynamical patterns of cattle trade movements. PLoS ONE 6, e19869.
2. Barabá si, A.-L. (2005) The origin of bursts and heavy tails in human dynamics. Nature 435, 207-211.
3. Bassett, D. S.,Wymbs, N. F., Porter,M. A., Mucha, P. J., Carlson, J.M. & Grafton, S. T. (2011) Dynamic reconfiguration of human brain networks during learning. Proc. Natl. Acad. Sci. USA 118, 7641-7646.
4. Berman, K. (1996) Vulnerability of scheduled networks and a generalization of Menger's theorem. Networks 28, 125-134.
5. Coles, N. (2001) It's not what you know-it's who you know that counts. Analysing serious crime groups as social networks. Br. J. Criminol. 41, 580-594.
6. Eagle, N., Pentland, A. S. & Lazer, D. (2009) Inferring friendship network structure by using mobile phone data. Proc. Natl. Acad. Sci. USA 106, 15274-15278.
7. Esfandiar, P., Bonchi, F., Gleich, D., Greif, C., Lakshmanan, L. & On, B.-W. (2010) Fast Katz and commuters: Efficient estimation of social relatedness in large networks In: R. Kumar & D. Sivakumar (editors), Algorithms and Models for the Web-Graph, vol. 6516 of Lecture Notes in Computer Science, Springer, Berlin, Heidelberg, pp. 132-145.
8. Gautreau, A., Barrat, A. & Barthelemy, M. (2009) Microdynamics in stationary complex networks. Proc. Natl. Acad. Sci. USA 106, 8847-8852.
9. Gleave, E.,Welser, H. T., Lento, T.M. & Smith, M. A. (2009) A conceptual and operational definition of 'social role' in online community. In: Proceedings of the 42nd Hawaii International Conference on System Sciences, Los Alamitos, CA, USA, IEEE Computer Society, pp. 1-11.
10. Grindrod, P. & Higham, D. J. (2010) Evolving graphs: Dynamical models, inverse problems and propagation. Proc. Roy. Soc. A 466, 753-770.
11. Grindrod, P., Higham, D. J., Parsons, M. C. & Estrada, E. (2011) Communicability across evolving networks. Phys. Rev. E 83, 046120.
12. Holme, P. (2005) Network reachability of real-world contact sequences. Phys. Rev. E, 71, 046119.
13. Holme, P. & Saram̈aki, J. Temporal networks. Phys. Rep., [online] URL: http://www. sciencedirect.com/science/article/pii/S0370157312000841.
14. Huffaker, D. (2010) Dimensions of leadership and social influence in online communities. Hum. Commun. Res. 36, 593-617.
15. Huffaker, D., Wang, J. A., Treem, J., Ahmad, M. A., Fullerton, L., Williams, D., Poole, M. S. & Contractor, N. (2009) The social behaviors of experts in massive multiplayer online role-playing games. IEEE Int. Conf. Comput. Sci. Eng. 4, 326-331.
16. Isella, L., Romano, M., Barrat, A., Cattuto, C., Colizza, V., Van den Broeck, W., Gesualdo, F., Pandolfi, E., Rav, L., Rizzo, C. & Tozzi, A. E. (2011) Close encounters in a pediatric ward: Measuring face-to-face proximity and mixing patterns with wearable sensors. PLoS ONE 6, e17144.
17. Katz, L. (1953) A new index derived from sociometric data analysis. Psychometrika 18, 39-43.
18. Kempe, D., Kleinberg, J. & Kumar, A. (2002) Connectivity and inference problems for temporal networks. J. Comput. Syst. Sci. 64, 820-842. (Pubitemid 41161937)
19. Kossinets, G., Kleinberg, J. & Watts, D. (2008) The structure of information pathways in a social communication network. In: Proceeding of the 14th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, KDD'08, New York, USA, ACM, pp. 435-443.
20. Kumpula, J. M., Onnela, J. P., Saram̈aki, J., Kaski, K. & Kert'esz, J. (2007) Emergence of communities in weighted networks. Phys. Rev. Lett. 99, 228701.
21. Leskovec, J., Krause, A., Guestrin, C., Faloutsos, C., VanBriesen, J. & Glance, N. (August 2007) Cost-effective outbreak detection in networks. In: ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 420-429. (Pubitemid 350229228)
22. Lu, Z., Savas, B., Tang, W. & Dhillon, I. (December 2010) Supervised link prediction using multiple sources. In: Data Mining (ICDM), 2010 IEEE 10th International Conference on, pp. 923-928.
23. McNamara, L., Mascolo, C. & Capra, L. (September 2008) Media sharing based on colocation prediction in urban transport. In: Proceedings of ACM 14th International Conference on Mobile Computing and Networking (Mobicom08), San Francisco, CA, pp. 58-69.
24. Mucha, P. J., Richardson, T., Macon, K., Porter, M. A. & Onnela, J.-P. (2010) Community structure in time-dependent, multiscale, and multiplex networks. Science 328, 876-878.
25. Muchnik, L., Itzhak, R., Solomon, S. & Louzoun, Y. (2007) Self-emergence of knowledge trees: Extraction of wikipedia hierarchies. Phy. Rev. E 76, 016106.
26. Newman, M. E. J. (2010) Networks an Introduction, Oxford University Press, Oxford.
27. Tang, J., Musolesi, M., Mascolo, C. & Latora, V. (2009) Temporal distance metrics for social network analysis. In: Proceedings of the 2nd ACM SIGCOMM Workshop on Online Social Networks (WOSN09), Barcelona, Spain.
28. Tang, J., Musolesi, M., Mascolo, C. & Latora, V. (2010) Characterising temporal distance and reachability in mobile and online social networks. SIGCOMM Comput. Commun. Rev. 40, 118-124.
29. Tang, J., Musolesi, M., Mascolo, C., Latora, V. & Nicosia, V. (2010) Analysing information flows and key mediators through temporal centrality metrics. In: SNS'10: Proceedings of the 3rd Workshop on Social Network Systems, New York, USA, ACM, pp. 1-6.
30. Tang, J., Scellato, S., Musolesi, M., Mascolo, C. & Latora, V. (2010) Small-world behavior in time-varying graphs. Phys. Rev. E 81, 05510.
31. Zhao, K., Stehe, J., Bianconi, G. & Barrat, A. (2011) Social network dynamics of face-to-face interactions. Phys. Rev. E 83, 056109.