Arenas2006spc Synchronization reveals Topology and Hierarchy
From enfascination
Synchronization processes in complex networks
<bibtex> @article{arenas2006spc,
title=Template:Synchronization processes in complex networks, author={Arenas, A. and Diaz-Guilera, A. and Perez-Vicente, C.J.}, journal={Physica D: Nonlinear Phenomena}, volume={224}, number={1-2}, pages={27--34}, year={2006}, publisher={Elsevier}
}
This was a great paper, unless it is obvious, I can't tell yet. What it will depend on is a better understanding of their analysis, which I don't remember well enough (and, of course, didn't completely understand). They could infer how many levels of hierarchy were in a structured networks of coupled oscillators by seeing how long different subsets took to synchronize with each other.
They point to previous research that explores the inability of the Newman modularity metric to distinguish between modules arranged in one vs more levels of hierarchy (Arenas, Diaz-Guilera, Perez-Vicente Phys Rev. Lett. (2006))