Log-periodic oscillations due to discrete effects in complex networks
| dc.creator | Sienkiewicz, Julian | |
| dc.creator | Fronczak, Piotr | |
| dc.creator | Holyst, Janusz A. | |
| dc.date | 2006-08-11 | |
| dc.date.accessioned | 2026-07-07T08:10:17Z | |
| dc.date.available | 2026-07-07T08:10:17Z | |
| dc.description | We show that discretization of internode distribution in complex networks affects internode distances l_ij calculated as a function of degrees (k_i k_j) and an average path length <l> as function of network size N. For dense networks there are log-periodic oscillations of above quantities. We present real-world examples of such a behavior as well as we derive analytical expressions and compare them to numerical simulations. We consider a simple case of network optimization problem, arguing that discrete effects can lead to a nontrivial solution. | |
| dc.description | 5 pages, 5 figures, REVTEX | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0608273 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0608273 | |
| dc.identifier | Phys. Rev. E 75, 066102 (2007) | |
| dc.identifier | doi:10.1103/PhysRevE.75.066102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131780 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Log-periodic oscillations due to discrete effects in complex networks | |
| dc.type | text |