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arxiv: 1504.00050 · v7 · pith:TXLBK5Z6new · submitted 2015-03-31 · ⚛️ physics.soc-ph · cond-mat.stat-mech· nlin.AO

Explosive percolation in thresholded networks

classification ⚛️ physics.soc-ph cond-mat.stat-mechnlin.AO
keywords explosivepercolationnetworknetworksedgesobservedthresholdedaddition
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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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