Multiscale analysis of spreading in a large communication network

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2012, Issue 3, 2012, Pages

  Kivelä, Mikko ^a   Pan, Raj Kumar ^a   Kaski, Kimmo ^a   Kertész, János ^a,b   Saramäki, Jari ^a   Karsai, Márton ^a  

^a AALTO UNIVERSITY   (Finland)

^b INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

Author keywords

communication; epidemic modelling; network dynamics; socio economic networks; supply and information networks

Indexed keywords

EID: 84858780426     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2012/03/P03005     Document Type: Article

References (32)

1. Holme P and Saramäki J 2011 Temporal networks arXiv:1108.1780
2. Barrat A, Barthélemy M, Pastor-Satorras R and Vespignani A 2004 The architecture of complex weighted networks Proc. Nat. Acad. Sci. 101 3747
3. Boccaletti S, Latora V, Moreno Y, Chavez M and Hwang D-U 2006 Complex networks: structure and dynamics Phys. Rep. 424 175
4. Vazquez A, Rácz B, Lukács A and Barabási A-L 2007 Impact of non-Poissonian activity patterns on spreading processes Phys. Rev. Lett. 98 158702
5. Karsai M, Kivelä M, Pan R K, Kaski K, Kertész J, Barabási A-L and Saramäki J 2011 Small but slow world: how network topology and burstiness slow down spreading Phys. Rev. E 83 025102
6. Miritello G, Moro E and Lara R 2011 The dynamical strength of social ties in information spreading Phys. Rev. E 83 045102
7. Pan R K and Saramäki J 2011 Path lengths, correlations, and centrality in temporal networks Phys. Rev. E 84 016105
8. Simonsen I, Eriksen K A, Maslov S and Sneppen K 2004 Diffusion on complex networks: a way to probe their large-scale topological structures Physica A 336 163
9. Holme P 2005 Network reachability of real-world contact sequences Phys. Rev. E 71 046119
10. Barthélemy M, Barrat A, Pastor-Satorras R and Vespignani A 2004 Velocity and hierarchical spread of epidemic outbreaks in scale-free networks Phys. Rev. Lett. 92 178701
11. Onnela J P, Saramäki J, Hyvönen J, Szabó G, Lazer D, Kaski K, Kertész J and Barabási A L 2007 Structure and tie strengths in mobile communication networks Proc. Nat. Acad. Sci. 104 7332
12. Anderson R M and May R M 1992 Infectious Diseases of Humans: Dynamics and Control (Oxford: Oxford Science Publications)
13. Hethcote H W 2000 The mathematics of infections diseases SIAM Rev. 42 599
14. Newman M E J 2002 Spread of epidemic disease on networks Phys. Rev. E 66 016128
15. Kenah E and Robins J M 2007 Second look at the spread of epidemics on networks Phys. Rev. E 76 036113
16. Morris M and Kretzschmar M 1997 Concurrent partnerships and the spread of HIV AIDS 11 641648
17. Rocha L E C, Liljeros Fredrik and Holme P 2010 Information dynamics shape the sexual networks of Internet-mediated prostitution Proc. Nat. Acad. Sci. 107 5706
18. Rocha L E C, Liljeros Fredrik and Holme Petter 2011 Simulated epidemics in an empirical spatiotemporal network of 50 185 sexual contacts PLoS Comput. Biol. 7 e1001109
19. Barabási A L 2005 The origin of bursts and heavy tails in human dynamics Nature 435 207
20. Iribarren J L and Moro E 2011 Affinity paths and information diffusion in social networks Soc. Netw. 33 134
21. Molloy M and Reed B 1995 A critical point for random graphs with a given degree sequence Random Structures Algorithms 6 161-80
22. Jo H-H, Karsai M, Kertész J and Kaski K 2012 Circadian pattern and burstiness in mobile phone communication New J. Phys. 14 013055
23. Goh K-I and Barabási A-L 2008 Burstiness and memory in complex systems Europhys. Lett. 81 48002
24. Wu Ye, Zhou C, Xiao J, Kurths J and Schellnhuber H J 2010 Evidence for a bimodal distribution in human communication Proc. Nat. Acad. Sci. 107 18803
25. Min B, Goh K-I and Vazquez A 2011 Spreading dynamics following bursty human activity patterns Phys. Rev. E 83 036102
26. Candia J, González M C, Wang P, Schoenharl T, Madey G and Barabási A-L 2008 Uncovering individual and collective human dynamics from mobile phone records J. Phys. A: Math. Theor. 41 224015
27. Steutel F W 1967 Random division of an interval Statist. Neerlandica 21 231
28. David H A and Nagaraja H N 2003 Order Statistics 3rd edn (Hoboken, NJ: Wiley-Blackwell)
29. Eisler Z, Bartos I and Kertész J 2008 Fluctuation scaling in complex systems: Taylor's law and beyond Adv. Phys. 57 89
30. Krings G, Calabrese F, Ratti C and Blondel V D 2009 Urban gravity: a model for inter-city telecommunication flows J. Stat. Mech. L07003
31. Pan R K, Kivelä M, Saramäki J, Kaski K and Kertész J 2011 Using explosive percolation in analysis of real-world networks Phys. Rev. E 83 046112
32. Moran P A P 1947 The random division of an interval Suppl. J. R. Stat. Soc. 9 92