Networks in life: Scaling properties and eigenvalue spectra

Details Networks in life: Scaling properties and eigenvalue spectra Networks in life: Scaling properties and eigenvalue spectra

2003-03-06

arxiv.org/abs/cond-mat/0303106v1

Physica A 314 (2002) 25-34

Physics

Condensed Matter

Statistical Mechanics

12 pages, 5 figures, last figure color

Scientific paper

10.1016/S0378-4371(02)01181-0

We analyse growing networks ranging from collaboration graphs of scientists to the network of similarities defined among the various transcriptional profiles of living cells. For the explicit demonstration of the scale-free nature and hierarchical organization of these graphs, a deterministic construction is also used. We demonstrate the use of determining the eigenvalue spectra of sparse random graph models for the categorization of small measured networks.

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