Question: Let G be a 3 - connected graph, and let ab be an edge of G . Show that G / ab is 3 -

Let G be a 3-connected graph, and let ab be an edge of G. Show that G/ab is 3-connected if and only if G{a, b} is 2-connected.hint:Assuming that G/xy is not 3-connected, distinguish the cases when vlies inside or outside a separator of at most 2 vertices.

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