ThmDex – An index of mathematical definitions, results, and conjectures.

Definition D778

Graph

Formulation 0

An D548: Ordered pair $G = (X, \mathcal{E})$ is a graph if and only if

(1)	$X$ is a D11: Set
(2)	\begin{equation} \mathcal{E} \subseteq \{ E \subseteq X : \|E\| = 2 \} \end{equation}

Formulation 1

An D548: Ordered pair $G = (X, \mathcal{E})$ is a graph if and only if

(1)	$X$ is a D11: Set
(2)	\begin{equation} \mathcal{E} \subseteq \mathcal{P}_2(X) \end{equation}

Also known as

Undirected graph

Children