Criticality of rumor propagation on small-world networks
| dc.creator | Zanette, Damian H. | |
| dc.date | 2001-09-04 | |
| dc.date.accessioned | 2026-07-25T14:29:17Z | |
| dc.description | We show that a simple model for the propagation of a rumor on a small-world network exhibits critical behavior at a finite randomness of the underlying graph. The transition occurs between a regime where the rumor "dies" in a small neighborhood of its origin, and a regime where it spreads over a finite fraction of the whole population. Critical exponents are evaluated through finite-size scaling analysis, and the dependence of the critical randomness with the network connectivity is studied. The behavior of this system as a function of the network randomness bears noticeable similarities with an epidemiological model reported recently [M. Kuperman and G. Abramson, Phys. Rev. Lett. 86, 2909 (2001)], in spite of substantial differences in the respective dynamical rules. | |
| dc.description | 4 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0109049 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0109049 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/26078 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Criticality of rumor propagation on small-world networks | |
| dc.type | text |