Revisiting finite size effect of percolation in degree correlated networks

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 t...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2021-12
Main Authors: Mizutaka, Shogo, Hasegawa, Takehisa
Format: Article
Language:English
Subjects:
Clusters
Networks
Percolation
Size effects
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2112.02823