A weighted evolving network model more approach to reality

TL;DR

This paper introduces a new weighted network growth model that captures realistic features like power-law distributions with droop-head and heavy-tail effects, reflecting social and economic system behaviors.

Contribution

The model incorporates low-strength node connections and produces three power-law distributions, advancing the understanding of weighted network evolution.

Findings

The model generates power-law distributions for degrees, strengths, and weights.

It reproduces droop-head and heavy-tail effects observed in real networks.

Numerical simulations validate the model's ability to mimic real-world network properties.

Abstract

In search of many social and economical systems, it is found that node strength distribution as well as degree distribution demonstrate the behavior of power-law with droop-head and heavy-tail. We present a new model for the growth of weighted networks considering the connection of nodes with low strengths. Numerical simulations indicate that this network model yields three power-law distributions of the node degrees, node strengths and connection weights. Particularly, the droop-head and heavy-tail effects can be reflected in the first two ones by this new model.