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Networks in life: Scaling properties and eigenvalue spectra. (English) Zbl 1001.92025

Summary: We analyze 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.

MSC:

92C37 Cell biology
05C80 Random graphs (graph-theoretic aspects)
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