<<http://sethf.com/infothought/blog/archives/000449.html>>
<<http://cites.boisestate.edu/civ3i13.pdf>> "Cites & Insights" November 2003, and math of six degrees of separation Walt Crawford just published the November 2003 edition of his library 'zine (not blog) "Cites & Insights". It's excellent reading over many topics. More excellent, to me :-), is that I'm mentioned in three different places, in discussions of censorware, copyright, and perspectives on legal risks. I sent a few clarifications, though I don't think it's worth the space of going through the items for a post. Rather, to do a change of pace, the discussion of the "Six Degrees Of Separation" idea caught my eye: Once you leave a field, you need to look for other communities--and lots of us don't belong to that many communities. I'd be astonished if "six degrees of separation" for the world as a whole, or even for the United States, worked out in practice. It's a community thing. I'd be astonished if "six degrees of separation" for the world as a whole, or even for the United States, worked out in practice. It's a community thing. The result is right. Formally, it's a graph-theory mathematical result. Given a graph of 6 billion nodes, and each node connected to (a few hundred? a thousand?) or so total other nodes, what's the average length of the smallest path between two nodes? I don't have a reference to the exact answer, but it's low. The interesting experimental result of these studies is that estimating a good path in the real-world is actually practical. The key is that, while there's community clustering, people can figure out how to "route" a message across communities, if they want. The critical factor is figuring out the maximal jump per each link. As the results show, it's do-able. Note asking "What's the number of hops for a connection"? is very different from "How many connections are made, versus die of disinterest?". That's akin to the issue of average life expectancy, where historically, there's a big difference between "Average everyone's lifespans, from 0 to 100", versus "If you survive childhood, how much longer do you live?" - because many people used to die around "0". And many message chains die around "0" too. That is, overall, very few people may be interested in being routers (there's a lot of dropped packets). So if a path completes (every person is being a router), it has only a few hops necessary. But don't expect many paths to complete. Two different ideas. _______________________________________________ http://www.mccmedia.com/mailman/listinfo/brin-l
