igraph (version 0.6.4)

k.regular.game: Create a random regular graph

Description

Generate a random graph where each vertex has the same degree.

Usage

k.regular.game (no.of.nodes, k, directed = FALSE, multiple = FALSE)

Arguments

no.of.nodes

Integer scalar, the number of vertices in the generated graph.

k

Integer scalar, the degree of each vertex in the graph, or the out-degree and in-degree in a directed graph.

directed

Logical scalar, whether to create a directed graph.

multiple

Logical scalar, whether multiple edges are allowed.

Value

• An igraph graph.

concept

• Random graph model
• Regular graph

Details

This game generates a directed or undirected random graph where the degrees of vertices are equal to a predefined constant k. For undirected graphs, at least one of k and the number of vertices must be even.

The game simply uses degree.sequence.game with appropriately constructed degree sequences.

See Also

degree.sequence.game for a generator with prescribed degree sequence.

Examples

## A simple ring
ring <- k.regular.game(10, 2)
plot(ring)

## k-regular graphs on 10 vertices, with k=1:9
k10 <- lapply(1:9, k.regular.game, no.of.nodes=10)

layout(matrix(1:9, nrow=3, byrow=TRUE))
sapply(k10, plot, vertex.label=NA)

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