try this:
#use igraph for example
library(igraph)
#get your data into x
x <- read.table("~/Downloads/network.csv", sep=";", quote="\"")
x <- as.matrix(x)
a <- numeric(0)
for(i in 1:nrow(x)){
a <- c(a, x[i,])
}
#plot it
b <- graph(a)
plot.igraph(b, edge.arrow.size=0.05, vertex.size = 5, vertex.label.cex = 0.5)
#or tree
plot.igraph(b, layout=layout.reingold.tilford, edge.arrow.size=0.05, vertex.size = 5, vertex.label.cex = 0.5)
#or circle
plot.igraph(b, layout=layout.circle, edge.arrow.size=0.05, vertex.size = 5, vertex.label.cex = 0.5)