Oskar Sandberg wrote:
If you mean by "Kleinberg small world" the model that Jon Kleinberg
proposed for navigable networks, then this is not the case. That model
has directed "long-range" edges, with a fixed out-degree and Poisson
in-degree.

True, that's why I linked to the Franceschetti & Meester paper which generalises Kleinberg's model to any out-degree distribution.

While making the out-degree arbitrary is easy, changing the
in-degrees while retaining the mathematical results would be
non-trivial. I'm not sure if anybody has done it.

That's interesting - would you mind elaborating? As long as the distribution of edge lengths is right and the edges are independent, why does the in-degree matter?

Cheers,
Michael
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