***** To join INSNA, visit http://www.insna.org ***** Dear Vincent, This seems to come close to the concept of network autocorrelation. Standard measures are those of Moran and Geary. Searching for these keywords will give you lots of information, I refrain from giving further references. Best, Tom ========================================= Tom A.B. Snijders Professor of Statistics and Methodology, Dept of Sociology, University of Groningen Emeritus Fellow, Nuffield College, University of Oxford http://www.stats.ox.ac.uk/~snijders On Tue, Jan 12, 2016 at 1:27 PM, LEVALLOIS Clément <[log in to unmask]> wrote: > ---------------------- Information from the mail header > ----------------------- > Sender: Social Networks Discussion Forum <[log in to unmask]> > Poster: =?utf-8?B?TEVWQUxMT0lTIENsw6ltZW50?= <[log in to unmask]> > Subject: Re: How to measure the distribution of an attribute among the > nodes of a network? > > ------------------------------------------------------------------------------- > > ***** To join INSNA, visit http://www.insna.org ***** > > Hi, > > 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 > > Clement > > > ------------ > A new MOOC by EMLYON > CODAPPS : Coding Mobile Apps for Entrepreneurs. > https://www.coursera.org/learn/codapps > > Assistant Professor EMLYON Business School > +33 (0)4 78 33 77 25 > Mobile : +33(0)6 59 08 33 92 > > Skype and Twitter : @seinecle > http://www.clementlevallois.net > > > > -----Message d'origine----- > De : Vincenzo Nicosia [mailto:[log in to unmask]] > Envoyé : mardi 12 janvier 2016 11:56 > À : LEVALLOIS Clément > 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. > > > > [cut] > > > > 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? > > HND > > Enzo Nicosia > > -- > [ Enzo Nicosia - School of Mathematical Sciences - Queen Mary UL ] [ -- > v.nicosia [at] qmul.ac.uk -- katolaz [at] yahoo [dot] it -- ] [ -- web > @QMUL: http://maths.qmul.ac.uk/~vnicosia/index.html -- ] [ > twitter:@KatolaZ -- jabber:[log in to unmask] - skype: katolaz ] > ---- > Ce message electronique et tous les fichiers attaches qu'il contient sont > confidentiels et destines exclusivement à l'usage de la personne à laquelle > ils sont adresses. Si vous avez reçu ce message par erreur, merci de le > retourner à son metteur. Les idees et opinions presentees dans ce message > sont celles de son auteur, et ne representent pas necessairement celles de > l'institution ou entite affiliee dont l'auteur est l'employe. 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