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arXiv · 0801.3644

Dynamics of k-core percolation

C. L. Farrow·P. Shukla·P. M. Duxbury
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Abstract

In many network applications nodes are stable provided they have at least k neighbors, and a network of k-stable nodes is called a k-core. The vulnerability to random attack is characterized by the size of culling avalanches which occur after a randomly chosen k-core node is removed. Simulations of lattices in two, three and four dimensions, as well as small world networks, indicate that power-law avalanches occur in first order k-core systems, while truncated avalanches are characteristic of second order cases.

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C. L. Farrow, P. Shukla, P. M. Duxbury. 2008-01-23. Dynamics of k-core percolation. https://doi.org/10.1088/1751-8113/40/27/f02

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