Hypergraph
A hypergraph is a graph whose hyperedges can connect any number of vertices rather than exactly two.
Optimization Algorithms: AI techniques for design, planning, and control problems
A hypergraph is a generalization of a graph whose hyperedges can connect any number of vertices.
- How it is used
- Represents group relationships that ordinary pairwise graph edges cannot express directly.
- How deep it goes
- Defines hypergraphs and demonstrates construction and drawing, but does not develop algorithms or internal representations.
- Examples
- Uses four HyperNetX hyperedges, including sets of two, three, five, and six vertices.
- What you can do after
- Builds and draws a hypergraph from vertex sets using HyperNetX.
Graph Neural Networks in Action
A hypergraph is a graph in which a single hyperedge can connect any number of nodes rather than exactly two.
- How it is used
- Models relationships involving groups of nodes, such as group chats, instead of restricting every connection to a pair.
- How deep it goes
- Defines hyperedges and incidence tensors, but stops short of algorithms or implementation code.
- Examples
- Uses group chats, isolated nodes, self-loops, and hyperedges joining up to three nodes.
- What you can do after
- Evaluate whether a relationship requires multi-node edges rather than ordinary pairwise graph connections.
Read how Graph Neural Networks in Action explains hypergraph →
Related concepts
- hyperedgehas part · A hyperedge is a generalized graph edge that can join an arbitrary number of vertices.
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