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Let G=(V,E) be a connected graph with |V|≥2 Prove that ∀e∈E the graph G∖e=(V,E∖{e}) is disconnected,...

Let G=(V,E) be a connected graph with |V|≥2

Prove that ∀e∈E the graph G∖e=(V,E∖{e}) is disconnected, then G is a tree.

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