Interarrival times of message propagation on directed networks

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 84, Issue 2, 2011, Pages

  Mihaljev, Tamara ^a   De Arcangelis, Lucilla ^b   Herrmann, Hans J ^a,c  

^a ETH ZURICH   (Switzerland)

^b SECOND UNIVERSITY OF NAPLES   (Italy)

^c FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

BOTNETS; COMPLEX BEHAVIOR; CYBERCRIME; DENIAL OF SERVICE ATTACKS; DIRECTED NETWORK; INFORMATION PROPAGATION; INTER-ARRIVAL TIME; MESSAGE PROPAGATION; NETWORK TOPOLOGY; POISSON PROCESS; POISSONIAN; RANDOM WALKERS; SCALE FREE NETWORKS; SINGLE USERS; UNSTRUCTURED PEER-TO-PEER NETWORK;

BEHAVIORAL RESEARCH; COMPUTER VIRUSES; ELECTRIC NETWORK TOPOLOGY; INTERNET; POISSON DISTRIBUTION; TOPOLOGY; VIRUSES;

PEER TO PEER NETWORKS;

EID: 80052234036     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.026112     Document Type: Article

References (44)

1. J. B. Grizzard, V. Sharma, C. Nunnery, B. B. Kang, and D. Dagon, in HotBots'07: Proceedings of the First Conference on First Workshop on Hot Topics in Understanding Botnets (USENIX Association, Berkeley, CA, USA, 2007).
2. N. Bisnik and A. A. Abouzeid, Proceedings IEEE INFOCOM 2007 (Anchorage, AK, USA, 2007), pp. 517-25.
3. Y. Li and Z. Zhang, Proceedings of the INFOCOM, 2010 (San Diego, California, USA, 2010), p. 1.
4. Z. Bar-Yossef, R. Friedman, and G. Kliot, Proceedings of the Seventh ACM International Symposium on Mobile ad hoc Networking and Computing, 2006 (MobiHoc, Florence, Italy, 2006), p. 238.
5. A. Capocci, A. Baldassarri, V. D. P. Servedio, and V. Loreto, Proceedings of the 20th ACM Conference on Hypertext and Hypermedia, 2009 (Torino, Italy, 2009), p. 239.
6. B. D. Hughes, Random Walks and Random Enviroments, Vol. 1 of Random Walks (Oxford University Press, New York, 1995).
7. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009 424, 175 (2006). (Pubitemid 43135890)
8. A. Barrat, M. Barthelemy, and A. Vespignani, Dynamical Processes in Complex Networks (Cambridge University Press, Cambridge, UK, 2008).
9. J. D. Noh and H. Rieger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.118701 92, 118701 (2004).
10. L. K. Gallos, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.046116 70, 046116 (2004). (Pubitemid 40010324)
11. S. Condamin, v. Bénichou, V. Tejedor, J. Voituriez, and J. Klafter, Nature (London) NATUAS 0028-0836 10.1038/nature06201 450, 77 (2007). (Pubitemid 350070561)
12. V. Sood, S. Redner, and D. Ben Avraham, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/1/007 38, 109 (2005). (Pubitemid 40111486)
13. L. A. Adamic, R. M. Lukose, A. R. Puniyani, and B. A. Huberman, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.046135 64, 046135 (2001).
14. B. J. Kim, C. N. Yoon, S. K. Han, and H. Jeong, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.65.027103 65, 027103 (2002). (Pubitemid 40619540)
15. M. Rosvall, P. Minnhagen, and K. Sneppen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.066111 71, 066111 (2005). (Pubitemid 41663826)
16. R. Germano and A. P. S. de Moura, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.036117 74, 036117 (2006). (Pubitemid 44483513)
17. B. Tadic and J. Rodgers, Adv. Complex Syst. JPHAC5 1284-8535 10.1142/S021952590200064X 5, 445 (2002).
18. S. Jespersen and A. Blumen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.62.6270 62, 6270 (2000). (Pubitemid 32033305)
19. M. E. J. Newman and M. Girvan, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.69.026113 69, 026113 (2004).
20. H. Zhou, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.041908 67, 041908 (2003).
21. H. Zhou, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.061901 67, 061901 (2003).
22. V. Sood and P. Grassberger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.098701 99, 098701 (2007). (Pubitemid 47358524)
23. Y. Kim, S. W. Son, and H. Jeong, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.016103 81, 016103 (2010).
24. B. Tadic, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510170071 23, 221 (2001). (Pubitemid 33626669)
25. S. Fortunato and A. Flammini, Internat. J. Bifur. Chaos. IJBEE4 0218-1274 10.1142/S0218127407018439 17, 2343 (2007). (Pubitemid 47373283)
26. N. Perra, V. Zlatić, A. Chessa, C. Conti, D. Donato, and G. Caldarelli, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/88/48002 88, 48002 (2009).
27. P. Bak, K. Christensen, L. Danon, and T. Scanlon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.178501 88, 178501 (2002).
28. M. S. Wheatland and Y. E. Litvinenko, Sol. Phys. SLPHAX 0038-0938 10.1023/A:1022430308641 211, 255 (2002).
29. L. de Arcangelis, C. Godano, E. Lippiello, and M. Nicodemi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.051102 96, 051102 (2006). (Pubitemid 43270967)
30. E. Lippiello, L. de Arcangelis, and C. Godano, Astron. Astrophys. AAEJAF 0004-6361 10.1051/0004-6361:200810164 488, L29 (2008).
31. E. Lippiello, L. de Arcangelis, and C. Godano, Astron. Astrophys. AAEJAF 0004-6361 10.1051/0004-6361/200913784 511, L2 (2010).
32. A. Corral, L. Telesca, and R. Lasaponara, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.016101 77, 016101 (2008). (Pubitemid 351388541)
33. P. Varga, EUNICE 2005: Networks and Applications Towards a Ubiquitously Connected World, IFIP International Federation for Information Processing, 2006, edited by, C. Delgado Kloos, A. Marín, and, D. Larrabeiti, Vol. 196 (XIV, 2006), p. 17.
34. J. Zimmermann, A. Clark, G. Mohay, F. Pouget, and M. Dacier, First International Workshop on Systematic Approaches to Digital Forensic Engineering (SADFE 2005) (IEEE Computer Society, 2005), pp. 89-104.
35. T. Utsu, in International Handbook of Earthquake and Engineering Seismology, Part A, edited by, W. H. K. Lee, H. Kanamori, P. C. Jennings, and, C. Kisslinger, (Academic, Amsterdam, 2002), p. 719.
36. M. Pica Ciamarra, A. Cognilio, and L. de Arcangelis, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/84/28004 84, 28004 (2008).
37. F. Omori, J. Coll. Sci., Imp. Univ. Tokyo 7, 111 (1894).
38. M. Molloy and B. Reed, Random Struct. Algorithms EULEEJ 1042-9832 10.1002/rsa.3240060204 6, 161 (1995).
39. M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.026118 64, 026118 (2001).
40. B. Bollobás, Random Graphs (Academic, Orlando, 1985).
41. A. Corral, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 108501 92, 108501 (2004).
42. A. Kittas, S. Carmi, S. Havlin, and P. Argyrakis, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/84/40008 84, 40008 (2008).
43. S. Redner, A Guide to First-Passage Processes (Cambrige University Press, Cambridge, UK, 2001).
44. D. Ben Avraham and S. Havlin, Diffusion and Reactions in Fractals and Disordered Systems (Cambrige University Press, Cambridge, UK, 2000).