| Issue |
EPL
Volume 87, Number 4, August 2009
|
|
|---|---|---|
| Article Number | 48010 | |
| Number of page(s) | 5 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/87/48010 | |
| 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
Received:
18
March
2009
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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