Explosive percolation in thresholded networks

Satoru Hayasaka

doi:10.1016/j.physa.2016.01.001

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arXiv · 1504.00050

Explosive percolation in thresholded networks

Satoru Hayasaka

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Abstract

Explosive percolation in a network is a phase transition where a large portion of nodes becomes connected with an addition of a small number of edges. Although extensively studied in random network models and reconstructed real networks, explosive percolation has not been observed in a more realistic scenario where a network is generated by thresholding a similarity matrix describing between-node associations. In this report, I examine construction schemes of such thresholded networks, and demonstrate that explosive percolation can be observed by introducing edges in a particular order.

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physics.soc-ph cond-mat.stat-mech nlin.AO

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Satoru Hayasaka. 2015-03-31. Explosive percolation in thresholded networks. https://doi.org/10.1016/j.physa.2016.01.001

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