It's finally out, our (w/ @ricgallotti and @manlius84 ) work on the efficiency of parallel communication on complex networks w/ flows.…
@ComuneLab @FBK_research Thread 1/
2/ This theoretical work started from a very real question on the structural and functional organisation of cities.…
When measuring the functional integration of cities through the flows of people within them, we stumbled upon a problem:
3/ If, on one hand, the communication efficiency was an established proxy for quantifying the integration of a complex system, on the other hand, there where different descriptors of efficiency for weighted networks!
4/ All these measures arise from the need of normalising the efficiency when link weights are taken into account. After analysing the flaws of each descriptor, we proposed a physically-grounded, statistically robust and mathematically proved normalising procedure, leading to...
5/ ... our GCE! We built weighted networks to test the GCE and understand which network features determine its global efficiency in the parallel information exchange, finding that a high heterogeneity in both the link weights and betweenness lead to an inefficient communication.
6/6 Curious about the results on real weighted networks (yep, we have them too)? Check out the paper! And you may find also the code useful 😉…

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