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How does SocialMediaData determine the size of graph vertices, e.g. on what does the vertex size depend in, say, a Facebook friend network graph?

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It's scaled by vertex degree, i.e., the number of mutual friends.

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Perhaps you could add a reference to the source of this assertion? – Sjoerd C. de Vries Apr 3 '13 at 14:08
It's confirmed by Wolfram research. – halmir Apr 3 '13 at 14:20
Where? Personal communication or documentation center or...? – Sjoerd C. de Vries Apr 3 '13 at 14:23
Personal communication (tech support) .. :) – halmir Apr 3 '13 at 16:56
Oh yeah, I forgot about that... – Sjoerd C. de Vries Apr 3 '13 at 20:03

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