Volume 87, Number 4, August 2009
|Number of page(s)||5|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||15 September 2009|
Randomness of random networks: A random matrix analysis
Max-Planck Institute for the Physics of Complex Systems - Nöthnitzerstr. 38, D-01187 Dresden, Germany, EU
Accepted: 7 August 2009
We analyze complex networks under the random matrix theory framework. Particularly, we show that statistics, which gives information about the long-range correlations among eigenvalues, provides a measure of randomness in networks. As networks deviate from the regular structure, follows the random matrix prediction of logarithmic behavior (i.e., ) for longer scale.
PACS: 89.75.Hc – Networks and genealogical trees / 89.90.+n – Other topics in areas of applied and interdisciplinary physics
© EPLA, 2009
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