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\subsection{Social Networks}  \cite{Campbell_2014}  \cite{Sizov_2010} studies authority ranking on social networks. The use of hashtags are indicative of emergent semantics in modern social networks as in \cite{Dellschaft_2009}. The authors formaly define social graphs and the application of tensors for authority ranking. A SocialWeb graph is defined as a graph G = ( V, L, E, linkType ) where V is the set of users in the community, L is the set of literals (e.g., hashtags), and E is the set of relations between users in V . Additionally, the function linkType : E -> L returns the annotation from L that relates two users. User X links to user Y by edge of type Z iff a) X follows Y (in the common sense of Twitter) and b) both X and Y have recently used the hashtag Z in their own postings/tweets. The authors describe the data collection and transformation processes for Twitter.  \cite{Choudhury_2010} defines diffusion and prediction on social media.