Robustness of networks of hypergraphs
Xiyao Sun1, Yuanyuan Pang1, Zhengao Guo2
1East China Normal University, School of Physics, Shanghai 200241, China.
Physical Review. E
|July 24, 2026
Summary
We introduce a Networks of Hypergraphs (NOH) framework to model complex systems. This approach reveals how internal and external structures jointly influence system robustness in interdependent hypergraphs.
Area of Science:
- Complex Systems Science
- Network Science
- Graph Theory
Background:
- Hypergraphs naturally represent complex systems with higher-order interactions.
- These systems often exhibit interdependencies between subsystems.
- Existing network models may not fully capture these higher-order relationships.
Purpose of the Study:
- To propose a novel framework, Networks of Hypergraphs (NOH), for analyzing interdependent hypergraphs.
- To represent the structural relationships among subsystems within a complex system.
- To investigate the robustness of these interconnected hypergraph systems.
Main Methods:
- Developed a bipartite network representation for hypergraphs.
- Constructed the Networks of Hypergraphs (NOH) framework using supernodes and superedges.
- Analyzed system robustness under quenched and annealed structural configurations.
Main Results:
- Each hypergraph is represented by two supernodes in the NOH framework.
- Superedges in the NOH characterize the internal structure of individual hypergraphs.
- Findings demonstrate the combined impact of intra-hypergraph and inter-hypergraph structures on overall system robustness.
Conclusions:
- The NOH framework offers a unifying approach to study complex systems with higher-order interactions.
- It effectively models the intricate coupling between subsystems.
- Understanding these coupled structures is crucial for predicting system robustness.
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