The above could pass for a Jackson Pollock painting, but it's actually a map of my current network, courtesy of LinkedIn Labs' InMap tool. (Update, January 9th, 2013: the tool appears to be down at the moment.)
Social network analysis took a huge leap forward with Mark Granovetter's 1973 paper, The Strength of Weak Ties. The principles Granovetter described have both helped me and allowed me to help others. The punchline: your "weak" connections might be the most valuable ones.
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