Explicit Solutions to the Continuous Time Albert-Barab\'asi Scale-Free Model
Mathematical Physics
2011-05-10 v2 math.MP
Physics and Society
Abstract
Presented here is the explicit solution to the continuous time approximation of the Albert-Barab\'asi 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.
Keywords
Cite
@article{arxiv.1105.0882,
title = {Explicit Solutions to the Continuous Time Albert-Barab\'asi Scale-Free Model},
author = {Benjamin R. Morin},
journal= {arXiv preprint arXiv:1105.0882},
year = {2011}
}
Comments
Updated version: Introduction and Discussion affected