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The architecture of the human connectome supports efficient communicationprotocols relying either on distances between brain regions or on theintensities of connections. However, none of these protocols combinesinformation about the two or reaches full efficiency. Here, we introduce acontinuous spectrum of decentralized routing strategies that combine linkweights and the spatial embedding of connectomes to transmit signals. Weapplied the protocols to individual connectomes in two cohorts, and to cohortarchetypes designed to capture weighted connectivity properties. We found thatthere is an intermediate region, a sweet spot, in which navigation achievesmaximum communication efficiency at low transmission cost. Interestingly, thisphenomenon is robust and independent of the particular configuration ofweights.Our results indicate that the intensity and topology of neuralconnections and brain geometry interplay to boost communicability, fundamentalto support effective responses to external and internal stimuli and thediversity of brain functions.

Optimal navigability of weighted human brain connectomes in physical space