Six degrees of separation (also referred to as the "Human Web") refers to the idea that everyone is at most six steps away from any other person on Earth, so that a chain of, "a friend of a friend" statements can be made to connect any two people in six steps or less. It was originally set out by Frigyes Karinthy and popularized by a play written by John Guare.
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In this case one (or more) of the creditors is "well connected" and will ultimately submit the winning plan. In fact that one won't even need 6 steps,,,more like 1.