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.

Value

A graph object.

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.

References

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