[@Scholes2011; @Renger2001]. If the dynamics is coherent, transport can be enhanced due to constructive interference. This, however, relies on well defined phase relations which get modified easily if the scattering medium is subject to external or internal sources of noise, even for small perturbations. Consequently, interference is destructive in most “real world" cases so that the efficiency is reduced to the point where transport might be completely suppressed [@Lattices1956; @Kramer1993; @Chin2010; @Rebentrost2009c].

The relationship between the detailed spatial configuration of the medium and its functional dynamical properties is subtle [@Baumann1986; @Renger2009]: two structures with similar geometries can possess strongly different transport properties and, vice versa, two structures with comparable transport properties may not share any evident common geometrical feature [@Scholak2011]. Clearly, a mechanistic understanding of the relationship between structure and transport efficiency would be necessary to use quantum coherence as a physical mechanism to develop new technological applications as well as understand photosynthesis at a fundamental level [@Li2012; @Leegwater1996; @Chachisvilis1997].

A recent application of complex network analysis on a set of randomly arranged excitable sites provided a systematic framework to characterize the structural properties of efficient transport [@Mostarda2013]. With much of a surprise, results provided strong evidence for the positive 