igraph (version 1.3.5)

erdos.renyi.game: Generate random graphs according to the Erdos-Renyi model

Description

This model is very simple, every possible edge is created with the same constant probability.

Usage

erdos.renyi.game(
  n,
  p.or.m,
  type = c("gnp", "gnm"),
  directed = FALSE,
  loops = FALSE
)

Value

A graph object.

Arguments

n

The number of vertices in the graph.

p.or.m

Either the probability for drawing an edge between two arbitrary vertices (G(n,p) graph), or the number of edges in the graph (for G(n,m) graphs).

type

The type of the random graph to create, either gnp (G(n,p) graph) or gnm (G(n,m) graph).

directed

Logical, whether the graph will be directed, defaults to FALSE.

loops

Logical, whether to add loop edges, defaults to FALSE.

Deprecated

Since igraph version 0.8.0, both erdos.renyi.game and random.graph.game are deprecated, and sample_gnp and sample_gnm should be used instead.

Author

Gabor Csardi

Details

In G(n,p) graphs, the graph has ‘n’ vertices and for each edge the probability that it is present in the graph is ‘p’.

In G(n,m) graphs, the graph has ‘n’ vertices and ‘m’ edges, and the ‘m’ edges are chosen uniformly randomly from the set of all possible edges. This set includes loop edges as well if the loops parameter is TRUE.

random.graph.game is an alias to this function.

References

Erdos, P. and Renyi, A., On random graphs, Publicationes Mathematicae 6, 290--297 (1959).

See Also

sample_pa

Examples

g <- erdos.renyi.game(1000, 1/1000)
degree_distribution(g)