ThmDex – An index of mathematical definitions, results, and conjectures.
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Definition D2696
Digraph
Formulation 0
An D548: Ordered pair $G = (X, \mathcal{E})$ is a digraph if and only if
(1) $X$ is a D11: Set
(2) \begin{equation} \mathcal{E} \subseteq X \times X \end{equation}
Formulation 1
An D548: Ordered pair $G = (X, \mathcal{E})$ is a digraph if and only if
(1) $X$ is a D11: Set
(2) $\mathcal{E}$ is a D78: Subset of $X \times X$
Also known as
Directed graph
Children
▶ D4526: Arrow set
▶ D2786: Collider digraph
▶ D2788: Confounder digraph
▶ D2771: Graph-generated digraph
▶ D2790: Mediator digraph
▶ D4527: Node set
▶ D4587: Set of digraphs
▶ D4529: Subdigraph