# watts.strogatz.game

0th

Percentile

##### The Watts-Strogatz small-world model

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

Keywords
graphs
##### Usage
watts.strogatz.game(dim, size, nei, p)
##### 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.
##### 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.

##### concept

• Small-world model
• Watts-strogatz model

##### References

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

graph.lattice, rewire.edges

##### Aliases
• watts.strogatz.game
##### Examples
g <- watts.strogatz.game(1, 100, 5, 0.05)
average.path.length(g)
transitivity(g, type="average")
Documentation reproduced from package igraph, version 0.5.5-3, License: GPL (>= 2)

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