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Distribution of different network parameters in synchronization optimized networks

Suman Acharyya
Recently a new family of graphs, namely the entangled networks have been introduced which is shown to exhibit better synchronizability. These networks have extreme homogeneous structures, i.e. most of the nodes are linked with similar number of links. Other network topological parameters, such as betweenness centrality, shortest path length etc. are shown to be distributed in a relatively narrow interval. In this paper, we analyze different network topological parameters for synchronization optimized networks of coupled identical systems. The degree mixing patterns of these optimized networks shows that the network is disassortative in nature, i.e. the high degree nodes tend to connect with low degree nodes.
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