Graph visualization using hyperbolic geometry . Applications cover web site structures, topic maps, organisational charts and wikis.
A set of nodes (or vertices), say V, plus a set of edges, say E, such that each member of E is a subset of V. When each member of E has exactly 2 nodes, [V,E] is a graph. The hypergraph is a convenient mathematical way to describe relations that involve more than two objects (nodes). One special case is an IIS hypergraph: each node represents an inequality and each edge represents an IIS.
a collection of subsets, called edges, of a given vertex set
a couple consisting of a nonempty set V (of vertices ) and of a covering of V by nonempty subsets ( edges )
a graph in which edges can connect more than two vertices
a pair of sets (V,F) where V is the vertex-set and F is a family of non empty subsets of V (called also edges or hyperedges)
A window that shows the graphical relationship between nodes and their connections in a scene. The Hypergraph shows either a DAG or a dependency graph. See also DAG, dependency graph. In other software packages, known as delete modifiers or schematic view.
In mathematics, a hypergraph is a generalization of a graph, where edges can connect any number of vertices. Formally, a hypergraph is a pair (X,E) where X is a set of elements, called nodes or vertices, and E is a set of non-empty subsets of X called hyperedges. Therefore, E is a subset of S(X) \backslash \emptyset, where S(X) is the power set of X.