Igraph : Problem plot degree distribution of a graph + how to create a legend about vertex size when they are weighted by degree?

Question

ONE question, probably very simple but I am just starting out (and encountering so many difficulties!)

I want to study the degree distribution of several of my networks. I use degree.distribution and get results. But when I want to graph them with the plot function there is a problem. Isolated vertices do not seem to be represented.

> degree.distribution(net.rel_non_lucra)
[1] 0.45454545 0.13636364 0.09090909 0.13636364 0.04545455 0.09090909 0.04545455

When I read the results in the console the first number indicates that 45% of the vertices are isolated. This is the case in the data table and in the graph. But when I plot the distribution (and compare it with other networks) the 0.45 are associated with a degree 1.

Do I have to modify the steps and the axes etics myself? If yes how ? Or is there an error somewhere else?

Here data about the network :

E(net.rel_non_lucra)

• 18/18 edges from e732712 (vertex names): 1 N --M N --T N --B N --E N --JL PR--P M --T M --B M --E M --JL J --C [12] J --B J --S A --C C --B C --S B --E B --S

22/22 vertices, named, from e732712: 1 N AN PR JB L M LS J BT V L. LC T A C P G B E S AL JL

here the visualization of the graph with the isolated vertices..

Answer 1

I guess you can use proportions(table(degree(g))) instead of degree.distribution to contain the degree info, e.g.,

set.seed(1)
g <- erdos.renyi.game(2000, 1 / 200)
degree_distribution(g)

plot(
  type.convert(
    rev(stack(proportions(table(degree(g))))),
    as.is = TRUE
  )
)

---

If you want CDF, you should use cumsum in addtion

set.seed(1)
g <- erdos.renyi.game(2000, 1 / 200)
degree_distribution(g)

plot(
  type.convert(
    rev(stack(proportions(table(degree(g))))),
    as.is = TRUE
  )
)