# erdos.renyi.game: Generate random graphs according to the Erdős-Rényi model In igraph: Network Analysis and Visualization

 erdos.renyi.game R Documentation

## Generate random graphs according to the Erdős-Rényi 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
)
``````

### 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.

### 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.

A graph object.

### 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(s)

Gabor Csardi csardi.gabor@gmail.com

### References

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

`sample_pa()`

Random graph models (games) `sample_bipartite()`, `sample_correlated_gnp_pair()`, `sample_correlated_gnp()`, `sample_degseq()`, `sample_dot_product()`, `sample_fitness_pl()`, `sample_fitness()`, `sample_forestfire()`, `sample_gnm()`, `sample_gnp()`, `sample_grg()`, `sample_growing()`, `sample_hierarchical_sbm()`, `sample_islands()`, `sample_k_regular()`, `sample_last_cit()`, `sample_pa_age()`, `sample_pa()`, `sample_pref()`, `sample_sbm()`, `sample_smallworld()`, `sample_traits_callaway()`, `sample_tree()`, `sample_()`

### Examples

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

``````

igraph documentation built on Aug. 10, 2023, 9:08 a.m.