# R igraph manual pages

Use this if you are using igraph from R

## 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.

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.

make_lattice, rewire