Jean, 
Thank you for the suggestion. Actually the dataset is quite large so that 
method might be unmanageable. 
Holly


hollym...@gmail.com



On Sep 4, 2013, at 10:14 AM, "Adams, Jean" <jvad...@usgs.gov> wrote:

> Holly,
> 
> I don't know of a clever way to do this, but I can think of a brute force 
> way, which might only be feasible if you have a small data set (as in your 
> example).  You could permute every possible set of connections, then choose 
> from that collection only the ones that meet your criteria.  
> 
> Using your example, there are c=21 possible connections among the n=7 unique 
> individuals, c = n*(n-1)/2.  Your example shows a total of 8 connections (16 
> rows / 2).  So you could generate all permutations of choose(21, 8) = 203,490 
> ways to have 8 connections.  Then subset the ones that have individual totals 
> the same as your example (1 connection for Alicia and Beth, 2 for Kerry and 
> Kim, 3 for James and John, and 4 for Rachel).
> 
> Jean
> 
> 
> On Tue, Sep 3, 2013 at 1:01 PM, hollymaya <hollym...@gmail.com> wrote:
> 
> I have a dataset of dyads (an edgelist) representing friendship nominations 
> between egos and their nominated alters. The network is undirected so if ego 
> is connected to alter, then there is a separate observation in the dataset 
> for the reverse. I would like to randomly permute the friendships so that 1.) 
> the total degree for each individual remains the same, i.e. each individual 
> ends up with the same number of friendships they had in the original 
> undirected dataset and 2.) there are no self loops, so individuals are not 
> connected to themselves. Any suggestions on this would be greatly appreciated.
> 
> 
> 
> Example
> 
> Observed data:
> 
> Ego          Alter
> 
> Alicia       James
> 
> Beth        Kim
> 
> James      John
> 
> James      Rachel
> 
> James      Alicia
> 
> John        Kerry
> 
> John        Rachel
> 
> John        James
> 
> Kerry     Rachel
> 
> Kerry      John
> 
> Kim         Rachel
> 
> Kim          Beth
> 
> Rachel    Kim
> 
> Rachel    James
> 
> Rachel    Kerry
> 
> Rachel    John
> 
> 
> 
> Permuted data:
> 
> Ego          Alter
> 
> Alicia
> 
> Rachel
> 
> Beth
> 
> James
> 
> James
> 
> Beth
> 
> James
> 
> John
> 
> James
> 
> Kim
> 
> John
> 
> Rachel
> 
> John
> 
> Kerry
> 
> John
> 
> James
> 
> Kerry
> 
> Rachel
> 
> Kerry
> 
> John
> 
> Kim
> 
>  Rachel
> 
> Kim
> 
> James
> 
> Rachel
> 
> Kim
> 
> Rachel
> 
> John
> 
> Rachel
> 
> Alicia
> 
> Rachel
> 
> Kerry
> 
> 
> 
> Thank you in advance,
> Holly
> 
> 
> 
> 
> 
> 
> 
> 
> hollym...@gmail.com
> 
> 
> 
> 
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> 
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