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http://hdl.handle.net/2445/198264
Title: | A geometry-induced topological phase transition in random graphs |
Author: | Kolk, Jasper van der Serrano Moral, Ma. Ángeles (María Ángeles) Boguñá, Marián |
Keywords: | Física estadística Percolació (Física estadística) Statistical physics Percolation (Statistical physics) |
Issue Date: | 6-Oct-2022 |
Publisher: | Springer Nature |
Abstract: | Clustering - the tendency for neighbors of nodes to be connected - quantifies the coupling of a complex network to its latent metric space. In random geometric graphs, clustering undergoes a continuous phase transition, separating a phase with finite clustering from a regime where clustering vanishes in the thermodynamic limit. We prove this geometric-to-nongeometric phase transition to be topological in nature, with anomalous features such as diverging entropy as well as atypical finite size scaling behavior of clustering. Moreover, a slow decay of clustering in the nongeometric phase implies that some real networks with relatively high levels of clustering may be better described in this regime. |
Note: | Reproducció del document publicat a: https://doi.org/10.1038/s42005-022-01023-w |
It is part of: | Communications Physics, 2022, vol. 5, num. 245 |
URI: | http://hdl.handle.net/2445/198264 |
Related resource: | https://doi.org/10.1038/s42005-022-01023-w |
ISSN: | 2399-3650 |
Appears in Collections: | Articles publicats en revistes (Física de la Matèria Condensada) |
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