I'll chime in. In the P2P world, O(log^2 N) may not be efficient, but
it may be the cheapest in terms of resources. For instance, a walker
may take a while to find a resource in a small world topology, but it
expends little effort at each node. Conversely, to attain fewer hops,
that also means a larger resource at each node to index and process
the index queries. There are also ways to use the hubs in such
networks to greatly improve efficiency.
The small world is also not necessarily the complete network or only
topology available to an application. The number of hops in a search
is not the same as a the number of hops that may be applied to
communications. Thus even when one part is inefficient, the other may
be ideal.
On Mar 20, 2006, at 2:42 PM, Ian Clarke wrote:
On 20 Mar 2006, at 12:11, Bob Harris wrote:
There is a lot of hype around small world networks. They have
a catchy name. And they are easy to code up. But they have terrible
performance.
It is rather courageous (or perhaps simply foolish) of you to
dismiss an entire avenue of study so cavalierly, time will tell
whether you are right.
Who wants O(log^2 N) performance?
It has already been pointed out that actual route lengths are far
more important than the order of the route lengths in practical
networks. It has also been pointed out that O(log^2 N) performance
presumes a fixed routing table size, where in most if not all
practical deployments, routing table sizes are increased with the
size of the network.
Did I really see simulations talking about 40+ hops?
You might have, but I can't recall any such simulations mentioned
in this thread.
Ian.
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