A growth model for citations networks

Abstract In some complex networks, nodes can continuously increase or decrease the number of their incoming and outgoing links. The World Wide Web is one such example, as webmasters can add or delete hyperlinks on web pages at any time. There are also networks where this can not happen. For instance...

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Main Authors: Pedro Castillo-Castillo, Enrique Stevens-Navarro, Ulises Pineda-Rico, Abel Garcia-Barrientos, Francisco R. Castillo-Soria, Jesus Acosta-Elias
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Applied Network Science
Online Access:https://doi.org/10.1007/s41109-025-00691-1
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author Pedro Castillo-Castillo
Enrique Stevens-Navarro
Ulises Pineda-Rico
Abel Garcia-Barrientos
Francisco R. Castillo-Soria
Jesus Acosta-Elias
author_facet Pedro Castillo-Castillo
Enrique Stevens-Navarro
Ulises Pineda-Rico
Abel Garcia-Barrientos
Francisco R. Castillo-Soria
Jesus Acosta-Elias
author_sort Pedro Castillo-Castillo
collection DOAJ
description Abstract In some complex networks, nodes can continuously increase or decrease the number of their incoming and outgoing links. The World Wide Web is one such example, as webmasters can add or delete hyperlinks on web pages at any time. There are also networks where this can not happen. For instance, in citation networks of scientific articles, after an article has been published, it will start gaining incoming links as it is cited, but its outgoing links will remain unchanged. Although articles are published with a predetermined number of references, the distribution of their outgoing links follows a power law, as if they were the result of a preferential process. So, how can we explain that the number of references an author includes in a scientific article is not purely random? In this work, a growth model for citation networks is presented, proposing that the distribution of outgoing links can be shaped by the presence of communities.
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series Applied Network Science
spelling doaj-art-e2db634de39d4050b38b0ff0d00de4b92025-01-19T12:14:01ZengSpringerOpenApplied Network Science2364-82282025-01-011011810.1007/s41109-025-00691-1A growth model for citations networksPedro Castillo-Castillo0Enrique Stevens-Navarro1Ulises Pineda-Rico2Abel Garcia-Barrientos3Francisco R. Castillo-Soria4Jesus Acosta-Elias5Facultad de Ciencias, Universidad Autonoma de San Luis PotosiFacultad de Ciencias, Universidad Autonoma de San Luis PotosiFacultad de Ciencias, Universidad Autonoma de San Luis PotosiFacultad de Ciencias, Universidad Autonoma de San Luis PotosiFacultad de Ciencias, Universidad Autonoma de San Luis PotosiFacultad de Ciencias, Universidad Autonoma de San Luis PotosiAbstract In some complex networks, nodes can continuously increase or decrease the number of their incoming and outgoing links. The World Wide Web is one such example, as webmasters can add or delete hyperlinks on web pages at any time. There are also networks where this can not happen. For instance, in citation networks of scientific articles, after an article has been published, it will start gaining incoming links as it is cited, but its outgoing links will remain unchanged. Although articles are published with a predetermined number of references, the distribution of their outgoing links follows a power law, as if they were the result of a preferential process. So, how can we explain that the number of references an author includes in a scientific article is not purely random? In this work, a growth model for citation networks is presented, proposing that the distribution of outgoing links can be shaped by the presence of communities.https://doi.org/10.1007/s41109-025-00691-1
spellingShingle Pedro Castillo-Castillo
Enrique Stevens-Navarro
Ulises Pineda-Rico
Abel Garcia-Barrientos
Francisco R. Castillo-Soria
Jesus Acosta-Elias
A growth model for citations networks
Applied Network Science
title A growth model for citations networks
title_full A growth model for citations networks
title_fullStr A growth model for citations networks
title_full_unstemmed A growth model for citations networks
title_short A growth model for citations networks
title_sort growth model for citations networks
url https://doi.org/10.1007/s41109-025-00691-1
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