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Higher-order simplicial synchronization of coupled topological signals
(Nature Research, 2021-06-07)
Simplicial complexes capture the underlying network topology and geometry of complex systems ranging from the brain to social networks. Here we show that algebraic topology is a fundamental tool to capture the higher-order ...
Nature of hypergraph k -core percolation problems
(American Physical Society, 2024-01-17)
Hypergraphs are higher-order networks that capture the interactions between two or more nodes. Hypergraphs can always be represented by factor graphs, i.e., bipartite networks between nodes and factor nodes (representing ...
The theory of percolation on hypergraphs
(American Physical Society, 2024-01-17)