Figure 6.10 The small world rewiring process

figures

code

The figure in the book shows only three rewiring steps for the sake of space. Here we show 11 with increasing probability of rewiring at each step of 0.05.

Code

library(sf)
library(dplyr)
library(tmap)
library(igraph)

plot_graph <- function(G, main='', vertex.color='black') {
  plot(G, main = main,
       layout = layout.circle(G), 
       vertex.label = NA, vertex.color = vertex.color, vertex.size = 5, 
       vertex.shape = 'circle', vertex.lwd = 0, 
       edge.color = 'black', edge.width = 0.5)
}

par(mar = rep(1, 4))
layout(matrix(1:12, nrow = 3, byrow = TRUE))

the_graph <- make_lattice(50, dim = 1, circular = TRUE)
plot_graph(the_graph)

for (i in 1:11) {
  the_graph <- rewire(the_graph, each_edge(0.05))
  plot_graph(the_graph)
}

Code

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