Module hypergraph 

Hypergraph algorithms and simplicial complexes.

This module provides four sub-modules:

Sub-module	Contents
core	Core data structures: IndexedHypergraph, generic Hypergraph<N,E>, clique/star/bipartite expansions
algorithms	Spectral clustering, hyperedge cuts, stationary distribution, betweenness centrality, s-walks
simplicial	SimplicialComplex, boundary matrices, Betti numbers, Vietoris-Rips/Čech/nerve complexes
higher_order	MotifTensor, topological features, CellularSheaf and Hodge Laplacian

Quick Start

use scirs2_graph::hypergraph::{IndexedHypergraph, clique_expansion, SpectralClusteringResult};
use scirs2_graph::hypergraph::{SimplicialComplex, CellularSheaf};

// Build a hypergraph
let mut hg = IndexedHypergraph::new(5);
hg.add_hyperedge(vec![0,1,2], 1.0).unwrap();
hg.add_hyperedge(vec![2,3,4], 1.0).unwrap();

// Clique expansion → ordinary graph
let g = clique_expansion(&hg);
assert_eq!(g.node_count(), 5);

// Simplicial complex topology
let mut sc = SimplicialComplex::new();
sc.add_simplex(vec![0,1,2]);
let betti = sc.betti_numbers();
assert_eq!(betti[0], 1); // connected

Re-exports

pub use core::clique_expansion;

pub use core::hyperedge_centrality;

pub use core::hypergraph_clustering_coefficient;

pub use core::hypergraph_random_walk;

pub use core::hypergraph_random_walk_seeded;

pub use core::line_graph;

pub use core::Hyperedge;

pub use core::Hypergraph;

pub use core::IndexedHypergraph;

pub use algorithms::betweenness_centrality as hypergraph_betweenness_centrality;

pub use algorithms::hyperedge_cut;

pub use algorithms::s_betweenness_centrality;

pub use algorithms::s_diameter;

pub use algorithms::s_distance;

pub use algorithms::s_reachability;

pub use algorithms::spectral_clustering;

pub use algorithms::stationary_distribution;

pub use algorithms::CutResult;

pub use algorithms::SpectralClusteringResult;

pub use simplicial::SimplicialComplex;

pub use higher_order::directed_motif_tensor;

pub use higher_order::trivial_sheaf_from_graph;

pub use higher_order::CellularSheaf;

pub use higher_order::MotifTensor;

pub use higher_order::TopologicalFeatures;

Modules

algorithms

Hypergraph algorithms.

attention

Hypergraph Attention Network (HAN).

core

Core hypergraph data structures and expansions.

edge_prediction

Hyperedge Prediction module.

higher_order

Higher-order network analysis.

neural

Hypergraph Neural Network (HGNN) convolution layers.

simplicial

Simplicial complexes and their topological invariants.