Category:Connectedness (Graph Theory)
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This category contains results about connectedness in the context of graph theory.
Definitions specific to this category can be found in Definitions/Connectedness (Graph Theory).
Vertices
Let $G$ be a graph.
Two vertices $u, v \in G$ are connected if and only if either:
- $(1): \quad u = v$
- $(2): \quad u \ne v$, and there exists a walk between them.
Graph
Let $G$ be a graph.
Then $G$ is connected if and only if every pair of vertices in $G$ is connected.
Subcategories
This category has the following 3 subcategories, out of 3 total.
D
- Disconnected Graphs (empty)
E
- Examples of Connected Graphs (2 P)
Pages in category "Connectedness (Graph Theory)"
The following 8 pages are in this category, out of 8 total.