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Even the language we speak today is a network of words connected by syntactic associations. Networks are everywhere.
Yet despite the importance and frequency of such complex networks, little is understood of their properties and structure. How do viruses diffuse so rapidly in communication systems? How do some networks continue to function even after a vast majority of their nodes have failed? Is it possible that everyone is connected by six handshakes?
For much of the last century, scientists treated all complex networks as being completely random. This theory had its roots in the work of two mathematicians, Paul Erdos and Alfred Renyi...
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