Category:Connected Graph is Tree iff Removal of One Edge makes it Disconnected
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This category contains pages concerning Connected Graph is Tree iff Removal of One Edge makes it Disconnected:
Let $G = \struct {V, E}$ be a connected simple graph.
Then $G$ is a tree if and only if:
- for all edges $e$ of $G$, the edge deletion $G \setminus \set e$ is disconnected.
Pages in category "Connected Graph is Tree iff Removal of One Edge makes it Disconnected"
The following 6 pages are in this category, out of 6 total.
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- Connected Graph is Tree iff Removal of One Edge makes it Disconnected
- Connected Graph is Tree iff Removal of One Edge makes it Disconnected/Necessary Condition
- Connected Graph is Tree iff Removal of One Edge makes it Disconnected/Sufficient Condition
- Connected Graph is Tree iff Removal of One Edge makes it Disconnected/Sufficient Condition/Proof 1
- Connected Graph is Tree iff Removal of One Edge makes it Disconnected/Sufficient Condition/Proof 2
- Connected Graph is Tree iff Removal of One Edge makes it Disconnected/Sufficient Condition/Statement