Re: [igraph] betweenness non-integer values for vertex?

[Szabolcs Horvát]

Dear Thomas,

This mailing list will be shut down soon. Please use
https://igraph.discourse.group/ instead.

What you quote is a good intuitive handle for understanding
betweenness, but if you look at the mathematical definition,

https://en.wikipedia.org/wiki/Betweenness_centrality#Definition

you will see that if there is a pair of vertices between which there
is more than one minimum length path, the betweenness value may not be
integer.

On Fri, 24 Jul 2020 at 11:58, Scherngell Thomas
<Thomas.Scherngell@ait.ac.at> wrote:
>
> Dear colleagues,
>
>
>
> I have a network of 130 countries with weighted interactions between them. I 
> am calculating vertex betweenness to rank countries by betweenness, and get 
> back non-integer values for each vertex (both in the weighted and unweighted 
> case). Reading that “The vertex and edge betweenness are (roughly) defined by 
> the number of geodesics (shortest paths) going through a vertex or an edge” I 
> would expect integer values as result, or do I get something wrong?
>
>
>
> Best,
>
> Thomas
>
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