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  3. if g = (v, e) is a graph and x ∈ v , let g...

If G = (V, E) is a graph and x ∈ V , let G...

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Advance Math

If G = (V, E) is a graph and x ∈ V , let G \ x be the graphwhose vertex set is V \ {x} and whose edges are those edges of Gthat don’t contain x.

Show that every connected finite graph G = (V, E) with at leasttwo vertices has at least two vertices x1, x2 ∈ V such that G \ xiis connected.

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