Newman, M. E. J. The structure and function of complex networks. (English) Zbl 1029.68010 SIAM Rev. 45, No. 2, 167-256 (2003). Summary: Inspired by empirical studies of networked systems such as the Internet, social networks, and biological networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior of these systems. Here we review developments in this field, including such concepts as the small-world effect, degree distributions, clustering, network correlations, random graph models, models of network growth and preferential attachment, and dynamical processes taking place on networks. Cited in 1344 Documents MSC: 68M10 Network design and communication in computer systems 05C90 Applications of graph theory 05C75 Structural characterization of families of graphs 94C15 Applications of graph theory to circuits and networks Keywords:networks; graph theory; complex systems; computer networks; social networks; random graphs; percolation theory PDF BibTeX XML Cite \textit{M. E. J. Newman}, SIAM Rev. 45, No. 2, 167--256 (2003; Zbl 1029.68010) Full Text: DOI arXiv Online Encyclopedia of Integer Sequences: Decimal expansion of beta_0, a threshold constant [the existence or not of a giant component] associated with random graph theory in case of a power law distribution for the degree sequence.