Six Degrees: The Science of a Connected Age (Open Market Edition)
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Six Degrees: The Science of a Connected Age (Open Market Edition) description
You may be only six degrees away from Kevin Bacon, but would he let you borrow his car? It depends on the structures within the network that links you. When the power goes out, when we find that a stranger knows someone we know, when dot-com stocks soar in price, networks are evident. In Six Degrees, sociologist Duncan Watts examines networks like these: what they are, how they're being studied, and what we can use them for. To illustrate the often complicated mathematics that describe such structures, Watts uses plenty of examples from life, without which this book would quickly move beyond a general science readership. Small chapters make each thought-provoking conclusion easy to swallow, though some are hard to digest. For instance, in a short bit on "coercive externalities," Watts sums up sociological research showing that: "Conversations concerning politics displayed a consistent pattern .... On election day, the strongest predictor of electoral success was not which party an individual privately supported but which party he or she expected would win." Six Degrees attempts to help readers understand the new and exciting field of networks and complexity. While considerably more demanding than a general book like The Tipping Point, it offers readers a snapshot of a riveting moment in science, when understanding things like disease epidemics and the stock market seems almost within our reach. --Therese Littleton |
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Six Degrees: The Science of a Connected Age (Open Market Edition) Customer Reviews
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Real-world networks are the result of nonrandom structure
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| Random Graph Theory: Image throwing a box full of buttons on a table and then choosing a pair of buttons at random and connect them with a piece of string. What would the buttons look like over a period of time. "In particular, what features could we prove that all such networks must have?" If you pickup one of the buttons what would be its connected component? "The fraction of the nodes connected in a single component change suddenly when the average number of links per node exceeds one." If we add enough thread so each button has one thread the fraction of the graph that occupied by the largest component suddenly jumps from almost zero to one. A phase transition from unconnected to connected and the point this happens is called the critical point. "Phase transitions of one sort or another occur in many complex systems and have been used to explain phenomena as diver as the onset of magnetization, the explosion of disease epidemics, and the propagation of fads. In the particular case, the phase transition is driven by the addition of a small number of links right near the critical point that have the effect of connecting many very small clusters into a single giant component, which then proceeds to swallow up all the other nodes until everything is connected." "So the presence of a giant component means that whatever happens at one location in the network has the potential to affect any other location." "The line between isolation and connectedness is thus an important threshold for the flow of information, disease, money, innovations, fads, social norms, and pretty much everything else that we care about in the moder society. The global connectivity should arrive not incrementally but in a sudden, dramatic jump tells us something deep and mysterious about the world." Almost everything we know about complex networks tells us that "they are not random." "Nevertheless, if we would like to understand the properties and behavior of real-world networks, the issue of nonrandom structure is one that eventually has to be faced." |
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