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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/198264
A geometry-induced topological phase transition in random graphs
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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.
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KOLK, Jasper Eibertus van der, SERRANO MORAL, Ma. Ángeles (María Ángeles) and BOGUÑÁ, Marián. A geometry-induced topological phase transition in random graphs. Communications Physics. 2022. Vol. 5, num. 245. ISSN 2399-3650. [consulted: 21 of August of 2026]. Available at: https://hdl.handle.net/2445/198264