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See the below for a graphical representation of Moses' comment and related
work on clustering in one and two modes


	*Field, S. *Frank, K.A.,  Schiller, K, Riegle-Crumb, C, and Muller,
C. 2006.  “Identifying Social Contexts in Affiliation Networks: Preserving
the Duality of People and Events.  Social Networks 28:97-123.
* co first authors.


-----Original Message-----
From: Social Networks Discussion Forum [mailto:[log in to unmask]] On
Behalf Of Moses Boudourides
Sent: Thursday, October 07, 2010 3:08 PM
To: [log in to unmask]
Subject: Re: Question about interlocking networks

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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:
> *****  To join INSNA, visit http://www.insna.org  *****
>
> 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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