  Internet, social media, neuronal or blood vessel are organized in complex
networks. These networks are characterized by several quantities such as the
underlying graph connectivity (topology), how they grow in time, scaling laws
or by the mean time a random search can cover a network and also by shortest
path between two nodes. We present here a novel type of network property based
on a unidirectional transport mechanism occurring in the Endoplasmic Reticulum
network found in the cell cytoplasm. This mechanism is an active-waiting
transportation, where molecules have to wait a random time before being
transported from one node to the next one. We find that the consequence of this
unusual network transportation is that molecules travel together by recurrent
packets, which quite a large deviation behavior compared to classical
propagation in graphs. To conclude, this form of transportation is associated
with an efficient and robust molecular redistribution inside cells.
