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Subject:

network dyad measure for contaigion - does such a measure exist?

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Tue, 7 Jun 2011 16:09:49 -0400

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 ```***** To join INSNA, visit http://www.insna.org ***** Hi, I'm looking for a network measure that I imagine may exist already, but I haven't been able to find it. I'm thinking about a measure of contagion. This blends the concepts of distance and redundancy. Geodesic distance takes the shortest distance between two nodes, and redundancy focuses on eliminating the double counting if there are multiple paths to the same node. However, geodesic distance ignores the other paths that are not the shortest. And redundancy seems to focus on removing redundant paths rather than emphasizing them as alternate opportunities to transmit. I'm looking for something that will take a weighted sum of all the possible paths from one node to another. For example. For a given person A, he is directly connected to B through an edge that signifies a meeting taking place. Imagine they have several meetings, so there are multiple direct connections between the two (say 5).  In addition, A meets with C 4 times and B meets with C 3 times. A and B have a second degree connection through C a total of 3 times. If we wanted to measure how many opportunities A has transmit something to B, we could add up the edges in the following weighted way: direction connection: weight_1 * 5 (meetings) indirect connection : weight _2 * 3 and add this up, where the weight_1 is a heavier weight than weight_2. Does a measure like this exist? If so, what is it called are there examples of this measure being used? Thanks!! _____________________________________________________________________ SOCNET is a service of INSNA, the professional association for social network researchers (http://www.insna.org). To unsubscribe, send an email message to [log in to unmask] containing the line UNSUBSCRIBE SOCNET in the body of the message.```