Early appraisal of the fixation probability in directed networks

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

Volumn 82, Issue 4, 2010, Pages

  Barbosa, Valmir C ^a   Donangelo, Raul ^a,b   Souza, Sergio R ^a,c  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b INSTITUTO DE FÍSICA   (Uruguay)

^c FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECTED NETWORK; EVOLUTIONARY DYNAMICS; LARGE POPULATION; LAYERED NETWORK; ORDERS OF MAGNITUDE; TOPOLOGICAL CONSTRAINTS;

NETWORK LAYERS; POPULATION STATISTICS; PROBABILITY; TOPOLOGY;

COMPUTER SIMULATION;

EID: 78651315390     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.046114     Document Type: Article

References (32)

1. E. Lieberman, C. Hauert, and M. A. Nowak, Nature (London) 433, 312 (2005). 10.1038/nature03204
2. P. A. P. Moran, Proc. Cambridge Philos. Soc. 54, 60 (1958). 10.1017/S0305004100033193
3. A. Valleriani and T. Meene, Ecol. Modell. 208, 159 (2007). 10.1016/j.ecolmodel.2007.05.017
4. M. Barthélemy, A. Barrat, R. Pastor-Satorras, and A. Vespignani, Phys. Rev. Lett. 92, 178701 (2004). 10.1103/PhysRevLett.92.178701
5. H. Ohtsuki, C. Hauert, E. Lieberman, and M. A. Nowak, Nature (London) 441, 502 (2006). 10.1038/nature04605
6. F. C. Santos and J. M. Pacheco, Phys. Rev. Lett. 95, 098104 (2005). 10.1103/PhysRevLett.95.098104
7. P. D. Taylor, T. Day, and G. Wild, Nature (London) 447, 469 (2007). 10.1038/nature05784
8. F. Fu, L. Wang, M. A. Nowak, and C. Hauert, Phys. Rev. E 79, 046707 (2009). 10.1103/PhysRevE.79.046707
9. A. Grönlund and P. Holme, Adv. Complex Syst. 8, 261 (2005). 10.1142/S0219525905000439
10. E. Pugliese and C. Castellano, EPL 88, 58004 (2009). 10.1209/0295-5075/ 88/58004
11. G. Szabó and G. Fáth, Phys. Rep. 446, 97 (2007). 10.1016/j.physrep.2007.04.004
12. J.-Y. Guan, Z.-X. Wu, Z.-G. Huang, X.-J. Xu, and Y.-H. Wang, EPL 76, 1214 (2006). 10.1209/epl/i2006-10381-4
13. B. J. Kim, A. Trusina, P. Holme, P. Minnhagen, J. S. Chung, and M. Y. Choi, Phys. Rev. E 66, 021907 (2002). 10.1103/PhysRevE.66.021907
14. H. Ohtsuki, M. A. Nowak, and J. M. Pacheco, Phys. Rev. Lett. 98, 108106 (2007). 10.1103/PhysRevLett.98.108106
15. H. Ohtsuki, J. M. Pacheco, and M. A. Nowak, J. Theor. Biol. 246, 681 (2007). 10.1016/j.jtbi.2007.01.024
16. A. Szolnoki and G. Szabó, EPL 77, 30004 (2007). 10.1209/0295-5075/77/30004
17. Z.-X. Wu, X.-J. Xu, and Y.-H. Wang, Chin. Phys. Lett. 23, 531 (2006). 10.1088/0256-307X/23/3/002
18. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, Phys. Rep. 424, 175 (2006). 10.1016/j.physrep.2005.10.009
19. Handbook of Graphs and Networks, edited by, S. Bornholdt, and, H. G. Schuster, (Wiley-VCH, Weinheim, Germany, 2003).
20. The Structure and Dynamics of Networks, edited by, M. Newman, A.-L. Barabási, and, D. J. Watts, (Princeton University Press, Princeton, NJ, 2006).
21. T. Antal, S. Redner, and V. Sood, Phys. Rev. Lett. 96, 188104 (2006). 10.1103/PhysRevLett.96.188104
22. M. Broom and J. Rychtář, Proc. R. Soc. London, Ser. A 464, 2609 (2008). 10.1098/rspa.2008.0058
23. N. Masuda and H. Ohtsuki, New J. Phys. 11, 033012 (2009). 10.1088/1367-2630/11/3/033012
24. V. Sood, T. Antal, and S. Redner, Phys. Rev. E 77, 041121 (2008). 10.1103/PhysRevE.77.041121
25. V. C. Barbosa, R. Donangelo, and S. R. Souza, Phys. Rev. E 80, 026115 (2009). 10.1103/PhysRevE.80.026115
26. P. Erdos and A. Rényi, Publ. Math. (Debrecen) 6, 290 (1959).
27. R. M. Karp, Random Struct. Algorithms 1, 73 (1990). 10.1002/rsa. 3240010106
28. V. C. Barbosa, R. Donangelo, and S. R. Souza, Physica A 321, 381 (2003). 10.1016/S0378-4371(02)01739-9
29. M. A. El-Shehawey, J. Phys. A 33, 9005 (2000). 10.1088/0305-4470/33/49/ 301
30. S. Karlin and H. M. Taylor, A First Course in Stochastic Processes, 2nd ed. (Academic, New York, 1975).
31. M. A. Nowak, Evolutionary Dynamics (Harvard University Press, Cambridge, MA, 2006).
32. N. Masuda, J. Theor. Biol. 258, 323 (2009). 10.1016/j.jtbi.2009.01.025