Abstract
We investigate the clustering coefficient in bipartite networks where
cycles of size three are absent and therefore the standard definition of
clustering coefficient cannot be used. Instead, we use another
coefficient given by the fraction of cycles with size four, showing that
both coefficients yield the same clustering properties. The new
coefficient is computed for two networks of sexual contacts, one
bipartite and another where no distinction between the nodes is made
(monopartite). In both cases the clustering coefficient is similar.
Furthermore, combining both clustering coefficients we deduce an
expression for estimating cycles of larger size, which improves previous
estimations and is suitable for either monopartite and multipartite
networks, and discuss the applicability of such analytical estimations.
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