Biology helps to construct weighted scale free networks

TL;DR

This paper introduces an evolutionary bipartite network model based on node duplication, demonstrating that it naturally produces weighted scale-free networks with power-law distributions in various node and edge properties.

Contribution

The study presents a simple duplication-based evolutionary model that generates weighted scale-free networks, supported by analytical and numerical analysis.

Findings

Weighted networks exhibit scale-free distributions for weights and degrees.

The model reproduces key properties of real-world weighted networks.

Analytical and simulation results confirm the emergence of scale-free behavior.

Abstract

In this work we study a simple evolutionary model of bipartite networks which its evolution is based on the duplication of nodes. Using analytical results along with numerical simulation of the model, we show that the above evolutionary model results in weighted scale free networks. Indeed we find that in the one mode picture we have weighted networks with scale free distributions for interesting quantities like the weights, the degrees and the weighted degrees of the nodes and the weights of the edges.