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Re: How to measure the distribution of an attribute among the nodes of a network?

From:

Vladimir Batagelj <[log in to unmask]>

Reply-To:

Vladimir Batagelj <[log in to unmask]>

Date:

Tue, 12 Jan 2016 13:24:03 +0100

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 ```***** To join INSNA, visit http://www.insna.org ***** On 12-01-2016 11:36, LEVALLOIS Clément wrote: > ***** To join INSNA, visit http://www.insna.org ***** > > Dear List members, > > I need to have a measure of how widespread is the distribution of a > node attribute in a network. Let me explain: PS. Some variations on the proposed widespread measure   W = |U union N(U)| / |V| 1. option - consider also the size of set U   W1 = (|U union N(U)| . |U|) / | V |**2 attains its maximum value 1 iff U = V. 2. option - dominating set (https://en.wikipedia.org/wiki/Dominating_set)   W2 = (|U union N(U)| . |V setminus U|) / (|V|.(|V|-1)) attains its maximum value 1 iff U is the center of a star (a single node linked to all other nodes). Vlado -- Vladimir Batagelj   IMFM - Institute of Mathematics, Physics and Mechanics   Jadranska 19, 1000 Ljubljana, Slovenia and   University of Primorska, Andrej Marušič Institute, Koper T: +386 1 4766 672 W: http://vladowiki.fmf.uni-lj.si/doku.php?id=vlado _____________________________________________________________________ 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.```

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