Big review published in Physics Reports
Our review of higher-order approaches to network science is finally out as Volume 874 of Physics Reports (freely accessible to all). It is the fruit of an extensive (800+ references) collaborative effort led by Federico Battiston and Giovanni Petri. If you want the TL;DR, Iacopo Iacopini wrote an excellent summary of the review that can be found here Needless to say that the field is teeming with exciting ideas and that it was a treat to survey them and their precursors, going decades back.
PS: We can thank the Complex Systems Summer School at SFI for this project, since three of us met during the 2015 editions.