Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-05-31
Physics
Condensed Matter
Disordered Systems and Neural Networks
7 pages, 4 figures
Scientific paper
10.1103/PhysRevE.76.056119
The largest eigenvalue of the adjacency matrix of a network plays an important role in several network processes (e.g., synchronization of oscillators, percolation on directed networks, linear stability of equilibria of network coupled systems, etc.). In this paper we develop approximations to the largest eigenvalue of adjacency matrices and discuss the relationships between these approximations. Numerical experiments on simulated networks are used to test our results.
Hunt Brian R.
Ott Edward
Restrepo Juan G.
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