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There can be multiple edges connecting people (e.g.Mike and I work at Microsoft, Mike and I are IM buddies, Mike and I live in Washington state, etc).Examples of applications that are significantly improved by the existence of context specific social graphs within them are Digg, Flickr, us and Twitter which all don’t require a user to add themselves to the site’s social graph to utilize it’s services but get more valuable once users do.
Examples of applications that require a social graph to actually be usable are instant messaging applications like Skype and Windows Live Messenger.It was initially introduced during the Facebook F8 conference in 2007 within the context of the Facebook Platform, however the Social Graph has now expanded to become an attempt at the graphical representation of relationships between everybody and everything on the Internet.Diverse things like the Web, power grids, economies and even cells can be represented and analyzed as networks." "Social Graph - If one were to render the various ways different people in a particular community were connected into a data structure, it would be a graph.In a social graph, each person is a vertex and each relationship connecting two people is an edge.Edges in the social graph have a label which describes the relationship.
Fun examples of social graphs are slander & libel -- the official computer scene sexchart and the Mark Foley Blame chart.