Analytical solution to the k-core pruning process

Rui-Jie Wu, Yi-Xiu Kong, Zengru Di, Yi-Cheng Zhang and Gui-Yuan Shi

Physica A: Statistical Mechanics and its Applications, 2022, vol. 608, issue P1

Abstract: k-core decomposition is a widely-used method in ranking nodes or extracting important information of complex networks. It is a pruning process in which we recursively remove the vertices with degree less than k to obtain the core of a complex network. The simplicity and effectiveness of this approach has led to a variety of applications in many scientific fields, including bioinformatics, neurosciences, computer sciences, economics, and network sciences. However, the analytical theory of the k-core pruning process is still lacking. Here we find that in every pruning step of any given network, the Non-Backtracking Expansion Branch (NBEB) is directly related to the remaining k-core. Using this NBEB method, we obtain the analytical results of the k-core pruning process and its detailed critical behaviour.

Keywords: Complex system; Complex network; Node ranking; k-core; Phase transition (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:608:y:2022:i:p1:s0378437122008184

DOI: 10.1016/j.physa.2022.128260

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