{"ID":2855131,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2510.13392","arxiv_id":"2510.13392","title":"The Price-Pareto growth model of networks with community structure","abstract":"We introduce a new analytical framework for modelling degree sequences in individual communities of real-world networks, e.g., citations to papers in different fields. Our work is inspired by a recent modification of the Price's model, which assumes that citations are gained partly accidentally, and to some extent preferentially. Our work addresses the need to represent the heterogeneity of various scientific domains, as standard homogeneous models fail to capture the distinct growth ratios and citing cultures of different fields. Extending the model to networks with a community structure allows us to devise the analytical formulae for, amongst others, citation counts in each cluster and their inequality as described by the Gini index. We also show that a citation count distribution in each community tends to a Pareto type II distribution. Thanks to the derived model parameter estimators, the new model can be fitted to real citation and similar networks.","short_abstract":"We introduce a new analytical framework for modelling degree sequences in individual communities of real-world networks, e.g., citations to papers in different fields. Our work is inspired by a recent modification of the Price's model, which assumes that citations are gained partly accidentally, and to some extent pref...","url_abs":"https://arxiv.org/abs/2510.13392","url_pdf":"https://arxiv.org/pdf/2510.13392v3","authors":"[\"Łukasz Brzozowski\",\"Marek Gagolewski\",\"Grzegorz Siudem\",\"Barbara Żogała-Siudem\"]","published":"2025-10-15T10:40:45Z","proceeding":"physics.soc-ph","tasks":"[\"physics.soc-ph\",\"cs.SI\",\"stat.AP\"]","methods":"[]","has_code":false}