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Hi Zachary,

I think the smallest number of groups in X that can produce a given
network Y equals to the number of existing cliques in Y.

Regards,

--Moses


On Thu, Oct 7, 2010 at 9:54 PM, Zachary P Neal <[log in to unmask]> wrote:
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>
> All,
>
> I have what seems to be a simple question about interlocking networks, but
> I'm having trouble coming up with a straightforward answer.  Any suggestions
> would be much appreciated.
>
> Given a two-mode person-to-group network X, it is easy to obtain a one-mode
>  person-to-person network Y.  Namely, Y = X * X' (see Breiger 1976).
>
> What is the smallest number of groups in X that can produce a given network
> Y?  And, relatedly, what features of Y influence how many groups are needed
> in X.
>
> Thanks
> Zachary
>
> --
> Zachary Neal, Assistant Professor
> Michigan State University
> Department of Sociology & Global Urban Studies Program
> 316 Berkey Hall
> East Lansing, MI 48824
> http://www.msu.edu/~zpneal
>
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