Could you explain 'saturated'? I am not sure this isn't related to a more simple surface - to - volume type number, but I only have three or so hands to wave at the difference. How about the average number of links to get to a destination vs the total network size? Plot that the way you would Minkowski sausage volume vs diameter to get fractal dimension. I saw an article pointing out that the average number of links was not growing as fast as the network size would predict, and blaming the expert and portal type sites for the difference. That is a cypherpunkish type observation, it is a number indicating intelligient intervention in the organization of the network. Carol Anne Cyperpunk's cat: =^.^= ----- Original Message ----- From: "Jim Choate" <ravage@EINSTEIN.ssz.com> To: <cypherpunks@EINSTEIN.ssz.com> Sent: Saturday, December 09, 2000 5:47 AM Subject: Re: Fractal geodesic networks
On Fri, 8 Dec 2000, Carol A Braddock wrote:
So say you -could- estimate a fractal dimension for the internet. What
would
the number be good for?
You can, there are at least two connectivity maps for the net out there.
It would describe the complexity of the equivalent graph. As the network becomes more complex the routing issues become more complicated as the number of potential paths increases. So the closer the fractal dimention gets to 3 the more 'saturated' the network becomes with respect to routing issues for example.
Admittedly it wouldn't be much use for the leaf node, but for those managing 'common' services (eg name resolution) it would at least give a model on which to base future expansion plans.
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