2026-04-17T21:44:33Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1442022025-12-04T20:46:41Zcom_2072_1057col_2072_478822col_2072_478914col_2072_478917

Soft Communities in Similarity Space García Pérez, Guillermo Serrano Moral, Ma. Ángeles (María Ángeles) Boguñá, Marián Geometria de l'espai Sistemes complexos Solid geometry Complex systems The S1 model has been central in the development of the field of network geometry. It places nodes in a similarity space and connects them with a likelihood depending on an effective distance which combines similarity and popularity dimensions, with popularity directly related to the degrees of the nodes. The S1 model has been mainly studied in its homogeneous regime, in which angular coordinates are independently and uniformly scattered on the circle. We now investigate if the model can generate networks with targeted topological features and soft communities, that is, inhomogeneous angular distributions. To that end, hidden degrees must depend on angular coordinates, and we propose a method to estimate them. We conclude that the model can be topologically invariant with respect to the soft-community structure. Our results expand the scope of the model beyond the independent hidden variables limit and can have an important impact in the embedding of real-world networks. 2019-11-07T12:06:29Z 2019-11-07T12:06:29Z 2018-06-19 2019-11-07T12:06:29Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 0022-4715 https://hdl.handle.net/2445/144202 682433 eng Versió postprint del document publicat a: https://doi.org/10.1007/s10955-018-2084-z Journal of Statistical Physics, 2018, vol. 173, num. 3-4, p. 775-782 https://doi.org/10.1007/s10955-018-2084-z (c) Springer Verlag, 2018 info:eu-repo/semantics/openAccess 8 p. application/pdf Springer Verlag Articles publicats en revistes (Física de la Matèria Condensada)