The synchronizability of highly clustered scale-free networks

TL;DR

This paper investigates how the clustering coefficient affects the synchronizability of coupled oscillators on scale-free networks, finding that higher clustering impairs synchronizability.

Contribution

It provides an analytical expression for the clustering coefficient in the Holme-Kim model and establishes a negative correlation between clustering and synchronizability.

Findings

Higher clustering reduces network synchronizability

Analytical expression for clustering coefficient in Holme-Kim model

Simulation confirms negative impact of clustering on synchronization

Abstract

In this letter, we consider the effect of clustering coefficient on the synchronizability of coupled oscillators located on scale-free networks. The analytic result for the value of clustering coefficient aiming at a highly clustered scale-free network model, the Holme-Kim is obtained, and the relationship between network synchronizability and clustering coefficient is reported. The simulation results strongly suggest that the more clustered the network, the poorer its synchronizability.