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arXiv · 1811.04295

Using NonBacktracking Expansion to Analyze k-core Pruning Process

Rui-jie Wu·Yi-Xiu Kong·Gui-yuan Shi·Yi-Cheng Zhang
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Abstract

We induce the NonBacktracking Expansion Branch method to analyze the k-core pruning process on the monopartite graph G which does not contain any self-loop or multi-edge. Different from the traditional approaches like the generating functions or the degree distribution evolution equations which are mathematically difficult to solve, this method provides a simple and intuitive solution of the k-core pruning process. Besides, this method can be naturally extended to study the k-core pruning process on correlated networks, which is among the few attempts to analytically solve the problem.

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Rui-jie Wu, Yi-Xiu Kong, Gui-yuan Shi, Yi-Cheng Zhang. 2018-11-10. Using NonBacktracking Expansion to Analyze k-core Pruning Process. https://arxiv.org/abs/1811.04295

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