Dynamics of Agent-Based Growing Network

Abstract

In this work we describe the dynamics of growing network using an agent-based model. We restrict our analysis for the case of a closed spatial boundary and apply certain rules that must be followed by each agent. We show the emergence of an outbreak in the number of agents and connectivity degree before reaching a saturated state. Using the concept of Gibbs- Network entropy we show that the saturated connectivity entropy always converge to the same constant independent of the initial agent number and boundary dimension.