***** 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.