ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Subset
Power set
Hyperpower set sequence
Hyperpower set
Hypersubset
Subset algebra
Subset structure
Hypergraph
Graph
Subgraph
Definition D2740
Spanning subgraph
Formulation 0
Let $G_X = (X, \mathcal{E}_X)$ be a D778: Graph such that
(i) $G_E = (E, \mathcal{E}_E)$ is a D2737: Subgraph of $G_X$
Then $G_E$ is a spanning subgraph of $G_X$ if and only if \begin{equation} E = X \end{equation}