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snowboot (version 1.0.2)

artificial_networks: 10 Simulated Networks of Order 2000 with Polylogarithmic (0.1, 2) Degree Distributions

Description

A list called "artificial_networks". The length of the list is 10, and each element is a network object of order 2000. These networks were simulated using the polylogarithmic (aka Gutenberg--Richter law) degree distribution with parameters \(\delta = 0.1\) and \(\lambda = 2\) as shown in the following equations: $$f(k) = k^{-{\delta}}e^{-{k/{\lambda}}}/Li_{\delta}(e^{-{1/\lambda}})$$ $$Li_{\delta}(z)=\sum_{j=1}^{\infty} z^{-j}/{j^{\delta}},$$ where \(\lambda > 0\) @see @newman_etal_2001, @gel_etal_2017, and @chen_etal_2018_snowboot for detailssnowboot.

Usage

artificial_networks

Arguments

Format

A list containing 10 network objects. Each network object is a list with three elements:

degree

the degree sequence of the network, which is an integer vector of length \(n\);

edges

the edgelist, which is a two-column matrix, where each row is an edge of the network;

n

the network order (number of nodes in the network). The order is 2000.

References