# degree

0th

Percentile

##### 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.

##### Aliases
• degree
• degree.distribution
• degree_distribution
##### Examples
g <- make_ring(10)
degree(g)
g2 <- sample_gnp(1000, 10/1000)
degree_distribution(g2)
Documentation reproduced from package igraph, version 1.0.0, License: GPL (>= 2)

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