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fipped lecture: six degree of sepration

Published October 16, 2012 by xinyingkelly

this lecture introduce the how network works. six degree of separation has been defineted by the idea that everyone is on average approximately six steps away,by way of introduction, from any other person in the world, so that a chain of frend to friend statements can be made, on average, to connect any two people in six steps or fewer.

the lecture use many examples to tell the theory of six degree of sepration which is relative to mathematic and biology. in the natural enviroment, like spider, they make their own net and each part connect to each other. and in our bodies,  such as all the cells. the protein is people to get information and communcation.all this exmples could use in social network media study.

 

In the 1950’s, Ithiel de Sola Pool (MIT) and Manfred Kochen (IBM) set out to prove the theory mathematically. Although they were able to phrase the question (given a set N of people, what is the probability that each member of N is connected to another member via k_1, k_2, k_3…k_n links?), after twenty years they were still unable to solve the problem to their own satisfaction. In 1967, American sociologist Stanley Milgram devised a new way to test the theory, which he called “the small-world problem.” He randomly selected people in the mid-West to send packages to a stranger located in Massachusetts. The senders knew the recipient’s name, occupation, and general location. They were instructed to send the package to a person they knew on a first-name basis who they thought was most likely, out of all their friends, to know the target personally. That person would do the same, and so on, until the package was personally delivered to its target recipient.

Although the participants expected the chain to include at least a hundred intermediaries, it only took (on average) between five and seven intermediaries to get each package delivered. Milgram’s findings were published in Psychology Today and inspired the phrase “six degrees of separation.” Playwright John Guare popularized the phrase when he chose it as the title for his 1990 play of the same name. Although Milgram’s findings were discounted after it was discovered that he based his conclusion on a very small number of packages, six degrees of separation became an accepted notion in pop culture after Brett C. Tjaden published a computer game on the University of Virginia’s Web site based on the small-world problem. Tjaden used the Internet Movie Database (IMDB) to document connections between different actors. Time Magazine called his site, The Oracle of Bacon at Virginia, one of the “Ten Best Web Sites of 1996.”

In 2001, Duncan Watts, a professor at Columbia University, continued his own earlier research into the phenomenon and recreated Milgram’s experiment on the Internet. Watts used an e-mail message as the “package” that needed to be delivered, and surprisingly, after reviewing the data collected by 48,000 senders and 19 targets (in 157 countries), Watts found that the average number of intermediaries was indeed, six. Watts’ research, and the advent of the computer age, has opened up new areas of inquiry related to six degrees of separation in diverse areas of network theory such as as power grid analysis, disease transmission, graph theory, corporate communication, and computer circuitry.