Abstract
We study a subset of the movie collaboration network,
http://www.imdb.com, where only adult movies are included. We show that
there are many benefits in using such a network, which can serve as a
prototype for studying social interactions. We find that the strength of
links, i.e., how many times two actors have collaborated with each
other, is an important factor that can significantly influence the
network topology. We see that when we link all actors in the same movie
with each other, the network becomes small-world, lacking a proper
modular structure. On the other hand, by imposing a threshold on the
minimum number of links two actors should have to be in our studied
subset, the network topology becomes naturally fractal. This occurs due
to a large number of meaningless links, namely, links connecting actors
that did not actually interact. We focus our analysis on the fractal and
modular properties of this resulting network, and show that the
renormalization group analysis can characterize the self-similar
structure of these networks.
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