Speaker
Bartlomiej Waclaw
(University of Edinburgh)
Description
I will dis cuss how various models of scale-free
networks approach their limiting properties when the
size of the network grows. I will show that subleading
corrections to the scaling of the position of the cutoff
are strong even for networks of order 10^9 nodes, and
that a logarithmic correction to the scaling is observed
for some graphs when the degree distribution follows a
power law k^(-3). I will also study the distribution of
the maximal degree and show that it may have a
different scaling than the cutoff and, moreover, it
approaches the thermodynamic limit much faster.
Finally, I will present some results on the cutoff function
and the distribution of the maximal degree in
equilibrated networks.
