Generalized scale-free homophilic network

A. M. Dos Santos (), M. L. De Almeida (), G. A. Mendes () and L. R. Da Silva ()
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A. M. Dos Santos: Departamento de Física Teórica e Experimental, UFRN, Natal, Rio Grande do Norte 59072-970, Brazil
M. L. De Almeida: Departamento de Biofísica e Farmacologia, UFRN, Natal, Rio Grande do Norte 59072-970, Brazil
G. A. Mendes: Departamento de Física, UFMA, São Luís, Maranhão 65085-580, Brazil;
L. R. Da Silva: Departamento de Física Teórica e Experimental, UFRN, Natal, Rio Grande do Norte 59072-970, Brazil

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 09, 1-13

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 Barabási–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 coefficient.

Keywords: Complex networks; power-laws; preferential attachment; correlations; 89.75.-k; 64.60.aq; 02.70.-c (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S0129183115500977

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