  Betweenness centrality quantifies the importance of a vertex for the
information flow in a network. We propose a flexible definition of betweenness
for temporal multiplexes, where geodesics are determined accounting for the
topological and temporal structure and the duration of paths. We propose an
algorithm to compute the new metric via a mapping to a static graph. We show
the importance of considering the temporal multiplex structure and an
appropriate distance metric comparing the results with those obtained with
static or single-layer metrics on a dataset of $\sim 20$k European flights.
