Self-similarity of complex networks and hidden metric spaces
| dc.creator | Serrano, M. Angeles | |
| dc.creator | Krioukov, Dmitri | |
| dc.creator | Boguna, Marian | |
| dc.date | 2007-10-10 | |
| dc.date | 2008-02-20 | |
| dc.date.accessioned | 2026-07-07T12:07:58Z | |
| dc.date.available | 2026-07-07T12:07:58Z | |
| dc.description | We demonstrate that the self-similarity of some scale-free networks with respect to a simple degree-thresholding renormalization scheme finds a natural interpretation in the assumption that network nodes exist in hidden metric spaces. Clustering, i.e., cycles of length three, plays a crucial role in this framework as a topological reflection of the triangle inequality in the hidden geometry. We prove that a class of hidden variable models with underlying metric spaces are able to accurately reproduce the self-similarity properties that we measured in the real networks. Our findings indicate that hidden geometries underlying these real networks are a plausible explanation for their observed topologies and, in particular, for their self-similarity with respect to the degree-based renormalization. | |
| dc.identifier | https://arxiv.org/abs/0710.2092 | |
| dc.identifier | http://arxiv.org/abs/0710.2092 | |
| dc.identifier | Physical Review Letters 100, 078701 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.100.078701 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209158 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Networking and Internet Architecture | |
| dc.subject | Physics and Society | |
| dc.title | Self-similarity of complex networks and hidden metric spaces | |
| dc.type | text |