Effects of Weight on Structure and Dynamics in Complex Networks

TL;DR

This paper investigates how random redistribution of link weights in complex networks influences their structure and dynamics, revealing effects like the emergence of small-world properties and enhanced synchronization.

Contribution

It introduces a study of weight randomization effects on network topology and dynamics, highlighting the emergence of small-world effects and improved synchronization capabilities.

Findings

Random weight redistribution induces small-world effects.

Weight randomization increases transition temperature in Ising models.

It dramatically enhances synchronization in chaotic systems.

Abstract

Link weight is crucial in weighted complex networks. It provides additional dimension for describing and adjusting the properties of networks. The topological role of weight is studied by the effects of random redistribution of link weights based on regular network with initial homogeneous weight. The small world effect emerges due to the weight randomization. Its effects on the dynamical systems coupled by weighted networks are also investigated. Randomization of weight can increase the transition temperature in Ising model and enhance the ability of synchronization of chaotic systems dramatically.