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He bet us that, using no more than five individuals, one of whom is a personal acquaintance, he could contact the selected individual using nothing except the network of personal acquaintances. S.-sized population without social structure, "it is practically certain that any two individuals can contact one another by means of at most two intermediaries.
In a [socially] structured population it is less likely but still seems probable.
Six degrees of separation is the idea that all living things and everything else in the world are six or fewer steps away from each other so that a chain of "a friend of a friend" statements can be made to connect any two people in a maximum of six steps.
It was originally set out by Frigyes Karinthy in 1929 and popularized in an eponymous 1990 play written by John Guare.
In his story, the characters create a game out of this notion.
The puzzle was originally a part of Mind Candy's Perplex City, but it has since grown into its own project.Almost 100,000 people registered, but only 384 (0.4%) reached the final target.Amongst the successful chains, while shorter lengths were more common some reached their target after only 7, 8, 9 or 10 steps. noted that participants (all of whom volunteers) were strongly biased towards existing models of Internet users and that connectedness based on professional ties was much stronger than those within families or friendships.The experiments are performed using Twitter, and they show an improvement of several orders of magnitude over greedy approaches.
Their optimal algorithm finds an average degree of separation of 3.43 between two random Twitter users, requiring an average of only 67 requests for information over the Internet to Twitter.Due to technological advances in communications and travel, friendship networks could grow larger and span greater distances.