R igraph manual pages

Bipartite random graphs

Description

Generate bipartite graphs using the Erdos-Renyi model

Usage

sample_bipartite(
  n1,
  n2,
  type = c("gnp", "gnm"),
  p,
  m,
  directed = FALSE,
  mode = c("out", "in", "all")
)

bipartite(...)

Arguments

n1	Integer scalar, the number of bottom vertices.
n2	Integer scalar, the number of top vertices.
type	Character scalar, the type of the graph, ‘gnp’ creates a $G(n,p)$ graph, ‘gnm’ creates a $G(n,m)$ graph. See details below.
p	Real scalar, connection probability for $G(n,p)$ graphs. Should not be given for $G(n,m)$ graphs.
m	Integer scalar, the number of edges for $G(n,p)$ graphs. Should not be given for $G(n,p)$ graphs.
directed	Logical scalar, whether to create a directed graph. See also the mode argument.
mode	Character scalar, specifies how to direct the edges in directed graphs. If it is ‘out’, then directed edges point from bottom vertices to top vertices. If it is ‘in’, edges point from top vertices to bottom vertices. ‘out’ and ‘in’ do not generate mutual edges. If this argument is ‘all’, then each edge direction is considered independently and mutual edges might be generated. This argument is ignored for undirected graphs.
...	Passed to sample_bipartite.

Details

Similarly to unipartite (one-mode) networks, we can define the $G(n,p)$, and $G(n,m)$ graph classes for bipartite graphs, via their generating process. In $G(n,p)$ every possible edge between top and bottom vertices is realized with probablity $p$, independently of the rest of the edges. In $G(n,m)$, we uniformly choose $m$ edges to realize.

Value

A bipartite igraph graph.

Author(s)

Gabor Csardi csardi.gabor@gmail.com

See Also

sample_gnp for the unipartite version.

Examples

## empty graph
sample_bipartite(10, 5, p=0)

## full graph
sample_bipartite(10, 5, p=1)

## random bipartite graph
sample_bipartite(10, 5, p=.1)

## directed bipartite graph, G(n,m)
sample_bipartite(10, 5, type="Gnm", m=20, directed=TRUE, mode="all")

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