The Kronecker-clique model for higher-order clustering coefficients

Jin-Yue Li, Xiang Li and Cong Li

Physica A: Statistical Mechanics and its Applications, 2021, vol. 582, issue C

Abstract: We propose a Kronecker-clique model, which possesses the higher-order properties, i.e., high-order clustering coefficients, of real-world networks. The higher-order clustering coefficient is defined as the closure probability of cliques. The higher-order structure of Kronecker-clique model is formed by introducing some cliques into the stochastic Kronecker model according to the degree-dependent function. We compare the higher-order clustering coefficients of the Kronecker-clique model with those of the stochastic Kronecker model and the HyperKron model when fitting the real-world networks. The results indicate that the Kronecker-clique model performs better than the stochastic Kronecker model, the HyperKron model as well as the traditional clustered model. Moreover, we perform k-core decomposition and show that the maximum k-core of the Kronecker-clique model is closer to that of real-world networks compared with the stochastic Kronecker model.

Keywords: Kronecker model; Higher-order clustering coefficients; Clique (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:582:y:2021:i:c:s0378437121005422

DOI: 10.1016/j.physa.2021.126269

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