Title
Numerical Assessment of the Percolation Threshold Using Complement Networks.
Abstract
Models of percolation processes on networks currently assume locally tree-like structures at low densities, and are derived exactly only in the thermodynamic limit. Finite size effects and the presence of short loops in real systems however cause a deviation between the empirical percolation threshold (p_c) and its model-predicted value (pi _c). Here we show the existence of an empirical linear relation between (p_c) and (pi _c) across a large number of real and model networks. Such a putatively universal relation can then be used to correct the estimated value of (pi _c). We further show how to obtain a more precise relation using the concept of the complement graph, by investigating on the connection between the percolation threshold of a network, (p_c), and that of its complement, (bar{p}_c).
Year
DOI
Venue
2018
10.1007/978-3-030-05411-3_65
COMPLEX NETWORKS
DocType
ISSN
Citations 
Journal
COMPLEX NETWORKS 2018: Complex Networks and Their Applications VII, pp. 820-827 (Springer, 2019)
0
PageRank 
References 
Authors
0.34
8
3
Name
Order
Citations
PageRank
Giacomo Rapisardi101.01
Guido Caldarelli238240.76
Giulio Cimini312613.77