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Dear all,

Thank you very much for your instant responses. Let me clarify my question. Since I am interested in the redundancy of connections, I calculated 'No. of Geodesics' using UCINET. However, because I am also interested in the edges' weights, I would like to calculate the sum of the weights of the edges which are parts of these (multiple) geodesics. So, let's say that nodes A and B are connected with 2 geodesics and their distance is 3. I would like to calculate the sum of the weights of ((AC+CD+DA) + (AE+EF+FA)).

My network is undirected, has 87 nodes and 240 edges, the diameter is 6, the range of the geodesics between any pair out of the 87 nodes is 0-34 and the total number of geodesics is 10462. All the weights are positive.

Best regards,
Emmanouil

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Sent: Tue, March 23, 2010 6:14:21 PM
Subject: RE: [SOCNET] sum of weights of geodesics

Like others it is not clear why you want this.
You need to be clear if the geodesic distances use the weights or not. If you want the length of the path to reflect the weights ie a path length is the sum of the weights of the path and the geodesic is a path with the lowest value then this is standard in UCINET under the reachability routine.

Martin

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Sent: 23 March 2010 16:43
Subject: [SOCNET] sum of weights of geodesics

Dear SOCNET members,

I am working on a weighted network and trying to calculate a matrix, each cell of which will be the sum of the weights of all the possible geodesics between any pair of nodes in the network.

Any suggestions on how to calculate such a matrix will be more than valuable.

Best regards,
Emmanouil
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