R igraph manual pages

The Watts-Strogatz small-world model

Description

Generate a graph according to the Watts-Strogatz network model.

Usage

sample_smallworld(dim, size, nei, p, loops = FALSE, multiple = FALSE)

smallworld(...)

Arguments

dim	Integer constant, the dimension of the starting lattice.
size	Integer constant, the size of the lattice along each dimension.
nei	Integer constant, the neighborhood within which the vertices of the lattice will be connected.
p	Real constant between zero and one, the rewiring probability.
loops	Logical scalar, whether loops edges are allowed in the generated graph.
multiple	Logical scalar, whether multiple edges are allowed int the generated graph.
...	Passed to sample_smallworld.

Details

First a lattice is created with the given dim, size and nei arguments. Then the edges of the lattice are rewired uniformly randomly with probability p.

Note that this function might create graphs with loops and/or multiple edges. You can use simplify to get rid of these.

Value

A graph object.

Author(s)

Gabor Csardi csardi.gabor@gmail.com

References

Duncan J Watts and Steven H Strogatz: Collective dynamics of ‘small world’ networks, Nature 393, 440-442, 1998.

See Also

make_lattice, rewire

Examples

g <- sample_smallworld(1, 100, 5, 0.05)
mean_distance(g)
transitivity(g, type="average")

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