- (Girvan & Newman, 2002) ⇒ Michelle Girvan and M. E. J. Newman. (2002). “Community Structure in Social and Biological Networks.” In: Proceedings of the National Academy of Sciences of the USA, 99(12). doi:10.1073/pnas.122653799
- QUOTE: Many systems take the form of networks, sets of nodes or vertices joined together in pairs by links or edges (1). Examples include social networks (2–4) such as acquaintance networks (5) and collaboration networks (6), technological networks such as the Internet (7), the Worldwide Web (8, 9), and power grids (4, 5), and biological networks such as neural networks (4), food webs (10), and metabolic networks (11, 12).
- (Amaral et al., 2000) ⇒ Amaral, LAN, Scala, A, Barthelemy, M, Stanley, HE. (2000). “[http://184.108.40.206/site_media/publication_pdfs/Amaral-2000-Proc.Natl.Acad.Sci.U.S.A.-97-11149.pdf Classes of Small-World Networks.” In: ProceedingsNatl. Acad. Sci. USA, 97.
- QUOTE: Second, we consider three examples of ‘‘social’’ networks: (iii) the movie-actor network (2), the links in this network indicating that the two actors were cast at least once in the same movie; (iv) the acquaintance network of Mormons (25), the vertices being 43 Utah Mormons and the number of links the number of other Mormons they know; and (v) the friendship network of 417 Madison Junior High School students (26). These three examples describe apparently distinct types of social networks with very different sample sizes. In fact it can be argued that the network of movie-actor collaborations is not really a social network but is instead an economic network. However, because it was considered in other publications (1, 2, 5) as a social network, we classify it similarly here. We feel that the acquaintance and friendship networks may be better proxies of real social networks and, as such, expect similar results from the analysis of both networks.