Application-specific graphs

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. 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). Initially the network was found to have a small-world property. Afterwards, it was discovered that it exhibits a scale-free (power-law) behavior. The parlor game of Six Degrees of Kevin Bacon involves finding paths in this network from specified actors to Kevin Bacon. (Wikipedia).

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Related pages

Clustering coefficient | Scale-free network | Weighting | Bipartite graph | Vertex (graph theory) | Social network analysis | Six Degrees of Kevin Bacon | Small-world network