Searching for Best Network Topologies with Optimal Synchronizability: A Brief Review
Guanrong Chen
Abstract
The Laplacian eigenvalue spectrum of a complex network contains a great deal of information about the network topology and dynamics, particularly affecting the network synchronization process and performance. This article briefly reviews the recent progress in the studies of network synchronizability, regarding its spectral criteria and topological optimization, and explores the role of higher-order topologies in measuring the optimal synchronizability of large-scale complex networks.
Topics & Concepts
Network topologySynchronization (alternating current)Computer scienceTopology (electrical circuits)Complex networkSynchronization networksProcess (computing)Network dynamicsDistributed computingMathematicsComputer networkDiscrete mathematicsOperating systemWorld Wide WebCombinatoricsNeural Networks Stability and SynchronizationNonlinear Dynamics and Pattern FormationGene Regulatory Network Analysis