  The architecture of the human connectome supports efficient communication
protocols relying either on distances between brain regions or on the
intensities of connections. However, none of these protocols combines
information about the two or reaches full efficiency. Here, we introduce a
continuous spectrum of decentralized routing strategies that combine link
weights and the spatial embedding of connectomes to transmit signals. We
applied the protocols to individual connectomes in two cohorts, and to cohort
archetypes designed to capture weighted connectivity properties. We found that
there is an intermediate region, a sweet spot, in which navigation achieves
maximum communication efficiency at low transmission cost. Interestingly, this
phenomenon is robust and independent of the particular configuration of
weights.Our results indicate that the intensity and topology of neural
connections and brain geometry interplay to boost communicability, fundamental
to support effective responses to external and internal stimuli and the
diversity of brain functions.

Neurons and Cognition;Biological Physics;Physics and Society