Weighted Fractal Networks

TL;DR

This paper introduces a new class of weighted complex networks inspired by fractal sets, providing an analytical framework to understand their topology and underlying natural mechanisms.

Contribution

It presents a unifying theoretical model for fractal networks, linking their structure to parameters and fractal dimensions, advancing understanding of natural fractal phenomena.

Findings

Networks share properties with fractal sets

Topology characterized analytically by parameters

Framework reveals hidden mechanisms in natural fractal structures

Abstract

In this paper we define a new class of weighted complex networks sharing several properties with fractal sets, and whose topology can be completely analytically characterized in terms of the involved parameters and of the fractal dimension. The proposed framework defines an unifying general theory of fractal networks able to unravel some hidden mechanisms responsible for the emergence of fractal structures in Nature.