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Co-stardom network
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Co-stardom network : ウィキペディア英語版
Co-stardom network
In social network analysis, the co-stardom network represents the collaboration graph of film actors i.e. movie stars. The co-stardom network can be represented by an undirected graph of nodes and links. Nodes correspond to the movie star actors and two nodes are linked if they co-starred (performed) in the same movie. The links are un-directed, and can be weighted or not depending on the goals of study. If the number of times two actors appeared in a movie is needed, links are assigned weights.〔http://www.barabasilab.com/pubs/CCNR-ALB_Publications/200201-30_RevModernPhys-StatisticalMech/200201-30_RevModernPhys-StatisticalMech.pdf〕 The co-stardom network can also be represented by a bipartite graph where nodes are of two types: actors and movies. And edges connect different types of nodes (i.e. actors to movies) if they have a relationship (actors in a movie).〔Newman, M. E. J., S. H. Strogatz, and D. J. Watts, 2001, Phys.Rev. E 64, 026118〕 Initially the network was found to have a small-world property.〔Watts, D. J., and S. H. Strogatz, 1998, Nature (London) 393,440〕 Afterwards, it was discovered that it exhibits a scale-free (power-law) behavior.〔Baraba´ si, A.-L., and R. Albert, 1999, Science 286, 509〕
The parlor game of Six Degrees of Kevin Bacon involves finding paths in this network from specified actors to Kevin Bacon.
== Network representation ==

In order to represent any network, it is necessary to characterize the properties of the corresponding graph of nodes and links. Studies on the collaboration network of movie actors have been described in literature such as the work done by (Watts and Strogatz, 1998), and Barabasi and Albert in (1999) and (2000). The general characteristics are described below.〔Albert, R., H. Jeong, and A.-L. Baraba´ si, 1999, Nature (London) 401, 130〕〔Albert, R., H. Jeong, and A.-L. Baraba´ si, 2000, Nature (London) 406, 378; 2001, 409, 542(E)〕〔Newman, M. E. J., 2000, J. Stat. Phys. 101, 819〕〔Albert, R., and A.-L. Baraba´ si, 2000, Phys. Rev. Lett. 85, 5234〕

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