Related Experiment Video
Updated: Jul 13, 2026

Time-dependent Increase in the Network Response to the Stimulation of Neuronal Cell Cultures on Micro-electrode Arrays
Published on: May 29, 2017
Finite-size effects in Barabási-Albert growing networks
1Marian Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Kraków, Poland. bwaclaw@th.if.uj.edu.pl
Abstract:
We investigate the influence of the network's size on the degree distribution pi k in Barabási-Albert model of growing network with initial attractiveness. Our approach based on moments of pi k allows us to treat analytically several variants of the model and to calculate the cutoff function, giving finite-size corrections to pi k. We study the effect of initial configuration as well as of addition of more than one link per time step. The results indicate that asymptotic properties of the cutoff depend only on the exponent gamma in the power-law describing the tail of the degree distribution. The method presented in this paper is very general and can be applied to other growing networks.
Related Concept Videos
Entropy Change in Reversible Processes
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
Mutation, Gene Flow, and Genetic Drift
Exponential Equations for Modeling Growth
Limits to Natural Selection
Relationship Formation
Modeling with Differential Equations