: Mathématiques: hypergraph

graph theory > hypergraph

hypergraph

In mathematics, a hypergraph is a generalization of a graph in which an edge can join any number of vertices. In contrast, in an ordinary graph, an edge connects exactly two vertices. Formally, a directed hypergraph is a pair ${\\displaystyle (X,E)}$ , where ${\\displaystyle X}$ is a set of elements called nodes, vertices, points, or elements and ${\\displaystyle E}$ is a set of pairs of subsets of ${\\displaystyle X}$ . Each of these pairs ${\\displaystyle (D,C)\\in E}$ is called an edge or hyperedge; the vertex subset ${\\displaystyle D}$ is known as its tail or domain, and ${\\displaystyle C}$ as its head or codomain.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hypergraph)

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