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A System-Independent Derivation of Preferential Attachment from the Principle of Least Effort

Preferential attachment (PA) is a widely observed behavior in many living systems and has been used in modeling many networks. The aim of this work is to show that the mechanism of PA is a consequence of the fundamental principle of least effort. We derive PA directly from this principle in maximizi...

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Detalles Bibliográficos
Autores principales: Machu, François Xavier, Wang, Ru Julie, Cheng, Jean Louis, Cocks, Jeremy, Wang, Qiuping Alexandre
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9955878/
https://www.ncbi.nlm.nih.gov/pubmed/36832671
http://dx.doi.org/10.3390/e25020305
Descripción
Sumario:Preferential attachment (PA) is a widely observed behavior in many living systems and has been used in modeling many networks. The aim of this work is to show that the mechanism of PA is a consequence of the fundamental principle of least effort. We derive PA directly from this principle in maximizing an efficiency function. This approach not only allows a better understanding of the different PA mechanisms already reported but also naturally extends these mechanisms with a non-power law probability of attachment. The possibility of using the efficiency function as a general measure of attachment efficiency is also investigated.