Diophantine networks

We then study the network associated with the equation x2+y2=z showing that the degree distribution is consistent with a power law for several decades of values of k and that, after having reached a minimum, the distribution begins rising again. The power-law exponent, in this case, is given by γ∼4.5 We then analyse clustering and ageing and compare our results to the ones obtained in the Pythagorean case.