Math Insight

Thread: Network tutorial

An overview of complex networks, with a focus on applications to neuroscience

1. Introduction
   • An introduction to networks
   • The degree distribution of a network
2. Random networks
   • One of the simplest types of networks
   • Random networks
   • The absurd high dimensionality of random graphs
   • Evidence for additional structure in real networks
3. Network types
   • Small world networks
   • Scale-free networks
   • Generating networks with a desired degree distribution
   • Generating networks with a desired second order motif frequency
4. Synchronization and correlations in networks
   • Connecting network structure to dynamical properties
   • The master stability function approach to determine the synchronizability of a network
   • The stability of the asynchronous state as function of largest eigenvalue
   • The influence of network structure on correlations

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