On Wed, Jan 17, 2007 at 11:36:55AM +0000, Michael Rogers wrote:
> Matthew Toseland wrote:
> > Anyone feel like running some
> > simulations to confirm the theory and the fix?
> 
> OK, but we need to come up with a precise model of what's happening 
> before we can simulate it. There seem to be two possible causes: 
> non-uniform clustering and non-uniform lifetime (maybe both).
> 
> Lifetime is relatively easy: assign each new node a lifetime drawn from 
> some distribution (fixed, exponential, power law seem like plausible 
> candidates).
> 
> Clustering is harder: here's an initial suggestion adapted from [1]. 
> Each new node connects to m neighbours. The first neighbour is chosen at 
> random. Then for each of the m-1 remaining neighbours, with probability 
> p you choose a random neighbour of your existing neighbours (this 
> creates clustering); with probability 1-p you choose a random node.
> 
> The value of p can be different for each node, so we can test what 
> happens when clustering is correlated with lifetime (ie long-lived nodes 
> form clusters and short-lived nodes are peripheral).
> 
> Cheers,
> Michael
> 
> [1] http://nlsc.ustc.edu.cn/BJKim/PAPER/PRE_CLUS.PDF (the paper uses 
> preferential attachment and therefore creates scale-free networks, but 
> my suggestion above doesn't use preferential attachment)

Well, if we are actually getting a scale-free network that could be a
problem too; small world != scale free, and scale free would actually
work remarkably poorly for freenet. (I wonder if that is in fact what is
happening? Hrrrm...)
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