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On Wed, Jul 29, 2015 at 03:21:24PM +0000, [log in to unmask] wrote:
>    ***** To join INSNA, visit http://www.insna.org *****
>
>    Hey SNAers,
>
>
>
>    I have a social media network (Twitter) where many nodes are followed by
>    many other nodes and vice versa. I’d like to roughly estimate the average
>    number of UNIQUE followers each node has. In other words I don’t want to
>    know precisely how many unique followers each individual node has
>    (indegree), only the average (mean and/or median).
>
>
>
>    I feel like there should be a simple metric or formula that takes node
>    indegree, the number of edges, density, and assumes some alpha level of
>    duplication and spits out the average unique in degree for my network.

Maybe I am missing something in your request, but it seems like you
just need to compute:

<k_in> = <k_out> = K/N

where K is the total number of edges and N is the total number of
nodes. Consider that, especially in twitter, the in-degree
distribution usually has a pretty large tail, which makes the average
in-degree not particularly significant for any practucal use.

HND

Enzo

--
[ 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 ]

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