# degree

##### Degree and degree distribution of the vertices

The degree of a vertex is its most basic structural property, the number of its adjacent edges.

- Keywords
- graphs

##### Usage

```
degree(graph, v = V(graph), mode = c("all", "out", "in", "total"),
loops = TRUE, normalized = FALSE)
```degree_distribution(graph, cumulative = FALSE, ...)

##### Arguments

- graph
The graph to analyze.

- v
The ids of vertices of which the degree will be calculated.

- mode
Character string, “out” for out-degree, “in” for in-degree or “total” for the sum of the two. For undirected graphs this argument is ignored. “all” is a synonym of “total”.

- loops
Logical; whether the loop edges are also counted.

- normalized
Logical scalar, whether to normalize the degree. If

`TRUE`

then the result is divided by \(n-1\), where \(n\) is the number of vertices in the graph.- cumulative
Logical; whether the cumulative degree distribution is to be calculated.

- …
Additional arguments to pass to

`degree`

, eg.`mode`

is useful but also`v`

and`loops`

make sense.

##### Value

For `degree`

a numeric vector of the same length as argument
`v`

.

For `degree_distribution`

a numeric vector of the same length as the
maximum degree plus one. The first element is the relative frequency zero
degree vertices, the second vertices with degree one, etc.

##### Examples

`library(igraph)`

```
# NOT RUN {
g <- make_ring(10)
degree(g)
g2 <- sample_gnp(1000, 10/1000)
degree_distribution(g2)
# }
```

*Documentation reproduced from package igraph, version 1.1.2, License: GPL (>= 2)*