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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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