# Temporal network model – Barabási-Albert model with the library igraph

**ProbaPerception**, and kindly contributed to R-bloggers]. (You can report issue about the content on this page here)

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I found a golden website. The blog of Esteban Moro. He uses R to work on networks. In particular he has done a really nice code to make some great videos of networks. This post is purely a copy of his code. I just changed a few arguments to change colors and to do my own network.

To create the network, I used the Barabási-Albert algorithm that you can find at the end of the post on the different algorithms for networks. Igraph is the library which has been used.

In order to make a video from the .png I used a software called Ffmpeg. It took me a bit of time to use it but you can find some tutorials on Internet.

Here is the kind of result you can expect :

**The code (R) : **

n <- 300

data <- matrix(0, ncol = 3, nrow = n-1)

data[1,2] <- 1

data[1:(n-1),1] <- 2:n

data[, 3] <- 1:(n-1)

weight <- NULL

weight[1] <- 1

weight[2] <- 1

for(i1 in 2:(n-1)){

link = sample(c(1:(i1)), size = 1, prob = weight)

data[i1, 2] <- link

weight[i1+1] <- 1

weight[link] <- weight[link] + 1

}

install.packages(“igraph”)

library(igraph)

#generate the full graph

g <- graph.edgelist(as.matrix(data[,c(1,2)]),directed=F)

E(g)$time <- data[,3]

#generate a cool palette for the graph

YlOrBr <- c(hsv(0.925, 0.20, 0.7), hsv(0.925, 0.40, 0.7), hsv(0.925, 0.60, 0.7), hsv(0.925, 0.80, 0.7), hsv(0.925,1, 0.7))

YlOrBr.Lab <- colorRampPalette(YlOrBr, space = “Lab”)

#colors for the nodes are chosen from the very beginning

vcolor <- rev(YlOrBr.Lab(vcount(g)))

#time in the edges goes from 1 to 300. We kick off at time 3

ti <- 3

#weights of edges formed up to time ti is 1. Future edges are weighted 0

E(g)$weight <- ifelse(E(g)$time < ti,1,0)

#generate first layout using weights.

layout.old <- layout.fruchterman.reingold(g,params=list(weights=E(g)$weight))

#total time of the dynamics

total_time <- max(E(g)$time)

#This is the time interval for the animation. In this case is taken to be 1/10

#of the time (i.e. 10 snapshots) between adding two consecutive nodes

dt <- 0.1

#Output for each frame will be a png with HD size 1600×900 🙂

png(file=”example%04d.png”, width=1600,height=900)

nsteps <- max(E(g)$time)

#Time loop starts

for(ti in seq(3,total_time,dt)){

#define weight for edges present up to time ti.

E(g)$weight <- ifelse(E(g)$time < ti,1,0)

#Edges with non-zero weight are in gray. The rest are transparent

E(g)$color <- ifelse(E(g)$time < ti,”black”,rgb(0,0,0,0))

#Nodes with at least a non-zero weighted edge are in color. The rest are transparent

V(g)$color <- ifelse(graph.strength(g)==0,rgb(0,0,0,0),vcolor)

#given the new weights, we update the layout a little bit

layout.new <- layout.fruchterman.reingold(g,params=list(niter=10,start=layout.old,weights=E(g)$weight,maxdelta=1))

#plot the new graph

plot(g,layout=layout.new,vertex.label=””,vertex.size=1+2*log(graph.strength(g)),olor=V(g)$color,edge.width=1.5,asp=9/16,margin=-0.15)

#use the new layout in the next round

layout.old <- layout.new

}

dev.off()

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