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Re: [igraph] Relative betweenness

From: Moses Boudourides
Subject: Re: [igraph] Relative betweenness
Date: Fri, 17 Aug 2012 12:59:34 +0300

Thanks, Tamas. Now, let me add something I've just discovered: the
case A = {u, v} (i.e., A is composed of 2 vertices) and B = V-A is
what Eric Kolaczyk calls co-betweenness (cf., Kolaczyk, E.D., Chua,
D.B., and Barthelemy, M. (2007). Group Betweenness and Co-Betweenness:
Inter-related Notions of Coalition Centrality. Social Networks, 31:3,
190-203, http://arxiv.org/abs/0709.3420v1). In his site
(http://math.bu.edu/people/kolaczyk/software.html), Eric gives a
software (in matlab) for computing group betweenness bounds based on
vertex co-betweenness.



On Thu, Aug 16, 2012 at 10:32 PM, Tamás Nepusz <address@hidden> wrote:
>> will be calculated. But I'm not sure whether and how I could get the
>> betweenness of A with regards to geodesics stemming from B. Any ideas?
> Your best bet is to get all the shortest paths from each of the vertices in B 
> using get.all.shortest.paths and then count how many of these paths pass 
> through A "manually". Note that there could be multiple geodesics originating 
> in B and going to some other vertex v, and it can happen that _some_ of these 
> paths pass through v and others do not; in this case, you have to add the 
> appropriate fraction to A's betweenness score. This could be a bit tricky to 
> get it right but not impossible.
> Best,
> Tamas
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