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Indeed my formulation was not clear. Refining my statement, I think a possible solution can appear:

- Being evenly distributed in the network would mean that the distance (shortest paths) between the nodes bearing this attribute value is comparably close to the distance between the same number of nodes randomly picked from the entire set of nodes of the network.

Does it make sense? 2 things:
- it does not depend on a notion of communities
- I might be wrong but the formulation above seems quite computationally intensive


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-----Message d'origine-----
De : Vincenzo Nicosia [mailto:[log in to unmask]] 
Envoyé : mardi 12 janvier 2016 11:56
Cc : [log in to unmask]
Objet : Re: [SOCNET] How to measure the distribution of an attribute among the nodes of a network?

On Tue, Jan 12, 2016 at 11:53:30AM +0100, LEVALLOIS Clément wrote:
> Hi Vincenzo,
> Thanks for your prompt response. Yes I have but for the issue at hand I'd need to have a network wide distribution measure, independent of the notion of clusters / communities.


> >    I would like to know to what extent the flavor “raspberry” is a value
> >    which is evenly distributed in the network, or to the contrary, just found
> >    in one community. A low value would mean that only nodes from a 
> > subregion

Then I probably misunderstood your question. How do you define "network regions" if you don't have a notion of classes/groups, or a metric embedding of your network?


Enzo Nicosia

[ Enzo Nicosia - School of Mathematical Sciences - Queen Mary UL ] [ -- v.nicosia [at] -- katolaz [at] yahoo [dot] it -- ] [ -- web @QMUL:  -- ] [ twitter:@KatolaZ -- jabber:[log in to unmask] - skype: katolaz ]
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