Small-World networks is phenomenon that's demonstrated in certain networks
and has distinct properties. The most familiar one property is called the
6-degree of separation. If you want to model such a network and you want to
generate randomly, you may consider one of the simplest to play with such
as 
Erdos-Renyi<http://igraph.sourceforge.net/doc/python/igraph.GraphBase-class.html#Erdos_Renyi>.
If it is not doing what you hope for, try other models such as
Barbasi-Albert<http://igraph.sourceforge.net/doc/python/igraph.GraphBase-class.html#Barabasi>,
and or 
Watts-Storgatz<http://igraph.sourceforge.net/doc/python/igraph.GraphBase-class.html#Watts_Strogatz>
.

Good luck!

-Ahmed


On Fri, Jan 24, 2014 at 4:11 PM, Ragia Ibrahim <[email protected]> wrote:

> Hi,
> how to generate this via igraph
>
>
>
> "Small-World Network:  Begin with  5242 nodes arranged as a ring,  and
> each node
> is connected to its two direct neighbors  Next,  each node to the
> neighbors of its neighbors
> Then , randomly select 4012 pairs of nodes not yet connected and add an
> edge
> between them.  "
> thanks in advance
> RAE
>
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>
>
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