  Previous simulation studies on human connectomes suggested, that critical
dynamics emerge subcrititcally in the so called Griffiths Phases. %This is the
consequence of the strong heterogeneity of the graphs. Now we investigate this
on the largest available brain network, the $21.662$ node fruit-fly connectome,
using the Kuramoto synchronization model. As this graph is less heterogeneous,
lacking modular structure and exhibit high topological dimension, we expect a
difference from the previous results. Indeed, the synchronization transition is
mean-field like, and the width of the transition region is larger than in
random graphs, but much smaller than as for the KKI-18 human connectome. This
demonstrates the effect of modular structure and dimension on the dynamics,
providing a basis for better understanding the complex critical dynamics of
humans.
