2011/05/04 by B. Morin, Benjamin R. Morin, Morin, Benjamin R.
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Opinion Dynamics and Social Influence #Optical properties and cooling technologies in crystalline materials #Physics and Society (physics.soc-ph) #Theoretical and Computational Physics #math-ph #math.MP #physics.soc-ph
paper · pdf · doi:10.48550/arxiv.1105.0882
Updated version: Introduction and Discussion affected
openalex publication_date 2011/05/04 · arxiv created 2011/05/08 · arxiv updated 2011/05/10 · openalex created_date 2022/08/28 · openalex updated_date 2026/07/28
Presented here is the explicit solution to the continuous time approximation of the Albert-Barabási scale-free network model at any time t. The solution is found by recursively solving the differential equations via integrating factors, identifying a pattern for the coefficients and then proving this observed pattern using induction.