Explicit Solutions to the Continuous Time Albert-Barabási Scale-Free Model

Details Explicit Solutions to the Continuous Time Albert-Barabási Scale-Free Model Explicit Solutions to the Continuous Time Albert-Barabási Scale-Free Model

2011-05-04

arxiv.org/abs/1105.0882v2

Physics

Mathematical Physics

Updated version: Introduction and Discussion affected

Scientific paper

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.

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