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arXiv · 2112.02823

Revisiting finite size effect of percolation in degree correlated networks

Shogo Mizutaka·Takehisa Hasegawa
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Abstract

In this study, we investigate bond percolation in networks that have the Poisson degree distribution and a nearest-neighbor degree-degree correlation. Previous numerical studies on percolation critical behaviors of degree-correlated networks remain controversial. We perform finite-size scaling for the peak values of the second-largest cluster size and the mean cluster size and find a large finite-size effect when a network has a strong degree-degree correlation. Evaluating the size dependence of estimated critical exponents carefully, we demonstrate that the bond percolation in the networks exhibits the mean-field critical behavior, independent of the strength of their nearest-neighbor degree correlations.

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Shogo Mizutaka, Takehisa Hasegawa. 2021-12-06. Revisiting finite size effect of percolation in degree correlated networks. https://doi.org/10.7566/jpsj.91.044002

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