TY - JOUR
T1 - Robustness of interdependent hypergraphs
T2 - A bipartite network framework
AU - Pan, Xingyu
AU - Zhou, Jie
AU - Zhou, Yinzuo
AU - Boccaletti, Stefano
AU - Bonamassa, Ivan
N1 - Publisher Copyright:
© 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
PY - 2024/1/12
Y1 - 2024/1/12
N2 - In this paper, we develop a bipartite network framework to study the robustness of interdependent hypergraphs. From such a perspective, nodes and hyperedges of a hypergraph are equivalent to each other, a property that largely simplifies their mathematical treatment. We develop a general percolation theory based on this representation and apply it to study the robustness of interdependent hypergraphs against random damage, which we verify with numerical simulations. We analyze a variety of interacting patterns, from heterogeneous to correlated hyperstructures, and from full- to partial-dependency couplings between an arbitrary number of hypergraphs, and characterize their structural stability via their phase diagrams. Given its generality, we expect that our framework will provide useful insights for the development of more realistic venues to characterize cascading failures in interdependent higher-order systems.
AB - In this paper, we develop a bipartite network framework to study the robustness of interdependent hypergraphs. From such a perspective, nodes and hyperedges of a hypergraph are equivalent to each other, a property that largely simplifies their mathematical treatment. We develop a general percolation theory based on this representation and apply it to study the robustness of interdependent hypergraphs against random damage, which we verify with numerical simulations. We analyze a variety of interacting patterns, from heterogeneous to correlated hyperstructures, and from full- to partial-dependency couplings between an arbitrary number of hypergraphs, and characterize their structural stability via their phase diagrams. Given its generality, we expect that our framework will provide useful insights for the development of more realistic venues to characterize cascading failures in interdependent higher-order systems.
UR - http://www.scopus.com/inward/record.url?scp=85182729554&partnerID=8YFLogxK
U2 - 10.1103/PhysRevResearch.6.013049
DO - 10.1103/PhysRevResearch.6.013049
M3 - Article
AN - SCOPUS:85182729554
SN - 2643-1564
VL - 6
JO - Physical Review Research
JF - Physical Review Research
IS - 1
M1 - 013049
ER -