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    THE 

    EMERGING SCIENCE OF  NETWORKS 

    Duncan 

    Watts 

    Yahoo! 

    Labs

    The 

    Small-World Problem 
    • “Six degrees of separation between us and everyone else on this planet”
      • John Guare, 1990
      • First mentioned in 1920’s by Karinthy
      • 1950’s Pool and Kochen first math investigation
    • Milgram’s Small-World Experiment 1960’s
    • Watts and Strogatz (1998)
      • showed that “small-world” property was exhibited by many real world networks, including social networks
      • more generally showed that “complex networks” have interesting mathematical and dynamical properties

    Network 

    Science 
    • Twelve years later  we have a good understanding of how  the small world phenomenon works
    • Also starting to understand other characteristics of large-scale networks
    • New theories, better models, faster computers, and mountains of digital data all contributing factors
    • Result has been called “Science of Networks”
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