The dynamics of power laws: fitness and aging in preferential attachment trees

DOI10.1007/s10955-017-1841-8zbMath1373.60148arXiv1703.05943OpenAlexW3103847173WikidataQ59528049 ScholiaQ59528049MaRDI QIDQ1676554

Remco van der Hofstad, Alessandro Garavaglia, Gerhard J. Woeginger

Publication date: 9 November 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.05943

zbMATH Keywords

branching processespower lawpreferential attachmentcitation networks

Mathematics Subject Classification ID

Problems related to evolution (92D15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Vertex degrees (05C07)

Related Items (10)

Condensation phenomena in preferential attachment trees with neighbourhood influence ⋮ From trees to graphs: collapsing continuous-time branching processes ⋮ On the continuous-time limit of the Barabási-Albert random graph ⋮ Local weak convergence for PageRank ⋮ Degree distributions in recursive trees with fitnesses ⋮ A version of Herbert A. Simon's model with slowly fading memory and its connections to branching processes ⋮ Degree growth rates and index estimation in a directed preferential attachment model ⋮ Studies on generalized Yule models ⋮ Asymptotic degree distribution in preferential attachment graph models with multiple type edges ⋮ Dynamical fitness models: evidence of universality classes for preferential attachment graphs

Cites Work

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• On the convergence of supercritical general (C-M-J) branching processes
• Connectivity Transitions in Networks with Super-Linear Preferential Attachment
• Robust Analysis of Preferential Attachment Models with Fitness
• Random trees and general branching processes
• Preferential Attachment Random Graphs with General Weight Function

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