Abstract
We propose a simple network growth process where the preferential
attachment contains two essential parameters: homophily, namely, the
tendency of sites to link with similar ones, and the number of attaching
neighbors. It jointly generalizes the Barabasi-Albert model and the
scale-free homophilic model with a control parameter which tunes the
importance of the homophily on preferential attachment process. Our
results support a detailed discussion about different kinds of
correlation, in special a fitness correlation introduced in this paper,
and comparisons between BA model, scale-free homophilic model, and our
present model considering its topological properties: degree
distribution, time dependence of the connectivity and clustering
co-efficient.
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