I don't have a paper to point you at, but my intuition is that all
geometrically constrained DHTs have irregular in-degrees.  Even though
nodes are "uniform random," there are local differences in distribution,
which lead to some nodes being selected more than others, as they are
responsible for more space.  In some simulations we've seen up to an
order of magnitude difference for in-degree.  In general (although not a
rule), the more constrained the node-selection, the more skewed the
in-degree.

This probably isn't much of a problem for an Internet over-lay, but for
a DHT on a mobile or resource limited platform it can become an issue.
One of our current projects is to create DHTs with greatly relaxed
geometries, which allow individual nodes to have greater control over
their in-degree.

Cyrus Hall
University of Lugano

On Thu, 2007-03-08 at 15:29 +1100, John Allan Casey wrote:
> Hi All, does any one have any pointers to how the in-degree of various 
> DHTs like Chord and Pastry is characterized? I think Chord will likely 
> have a uniform in-degree whereas nodes in Pastry will most likely be 
> skewed? probably because of proximity neighbor selection. So what sort of
> distribution can be used to characterize the in-degree of nodes in Pastry?
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