Redes filogenéticas: estudo através das redes complexas

Abstract

This work focused on the development of a computational model as an alternative approach to study the characteristics of systems determined by genealogical relationships through the theory of complex networks. The model consists of constructing a complex network whose nodes are separated into generations. The nodes of one generation interact with each other to produce the next generation at a predetermined growth rate, and this cycle repeats until the network reaches the maximum number of nodes. Pearson coefficients and degree distributions of the networks were analyzed. The results revealed that the Pearson coefficient is almost always negative, with oscillating values. The oscillation rate is related to the growth rate of the network. As for the degree distributions, the existence of at least two peaks was observed — one always at k = 2, and the other at a variable value, but always greater than 2. The pattern of the degree distributions is non-trivial and has not been previously reported in the scientific literature, resembling a superposition of gaussians.