Definition:Connected (Graph Theory)/Graph/Disconnected

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Let $G = \struct {V, E}$ be a graph.

Then $G$ is disconnected if and only if it is not connected.

That is, if and only if there exists (at least) two vertices $u, v \in V$ such that $u$ and $v$ are not connected.

Also see

  • Results about disconnected graphs can be found here.