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On 12-01-2016 11:36, LEVALLOIS Clément wrote:
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>
> 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
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