Networks in life: Scaling properties and eigenvalue spectra

I. Farkas, I. Derényi, H. Jeong, Z. Néda, Z. N. Oltvai, E. Ravasz, A. Schubert, A. L. Barabási, T. Vicsek

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)25-34
Number of pages10
JournalPhysica A: Statistical Mechanics and its Applications
Volume314
Issue number1-4
DOIs
StatePublished - 2002

Keywords

  • Collaboration graphs
  • Graph spectra
  • Random networks
  • Spectral analysis of real-world graphs

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    Farkas, I., Derényi, I., Jeong, H., Néda, Z., Oltvai, Z. N., Ravasz, E., Schubert, A., Barabási, A. L., & Vicsek, T. (2002). Networks in life: Scaling properties and eigenvalue spectra. Physica A: Statistical Mechanics and its Applications, 314(1-4), 25-34. https://doi.org/10.1016/S0378-4371(02)01181-0