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Unfortunately, the degree.distribution() function of the igraph library returns the intensities of the distribution:

```> g <- graph.ring(5)
> plot(g)
> summary(g)
IGRAPH U--- 10 10 -- Ring graph
attr: name (g/c), mutual (g/x), circular (g/x)
```

So instead of having the number of elements, the density/intensities value is returned:

```> degree.distribution(g)
[1] 0 0 1
```

You can easily verify this in the source code of the function:

```> degree.distribution
function (graph, cumulative = FALSE, ...)
{
if (!is.igraph(graph)) {
stop("Not a graph object")
}
cs <- degree(graph, ...)
hi <- hist(cs, -1:max(cs), plot = FALSE)\$intensities
if (!cumulative) {
res <- hi
}
else {
res <- rev(cumsum(rev(hi)))
}
res
}

```

This caused me some minor issues, but the solution was easy. I simply created a new version of the function that is using \$count instead of \$intensities (BTW \$intensities will be deprecated in R 3.0).

```count.degree.distribution <- function (graph, cumulative = FALSE, ...)
{
if (!is.igraph(graph)) {
stop("Not a graph object")
}
cs <- degree(graph, ...)
hi <- hist(cs, -1:max(cs), plot = FALSE)\$count
if (!cumulative) {
res <- hi
}
else {
res <- rev(cumsum(rev(hi)))
}
res
}
```
Using it is identical to the original version:
```> count.degree.distribution(g)
[1] 0 0 10
```