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In: Advanced Math

Let G be a connected graph which contains two spanning trees T1 and T2 that do...

Let G be a connected graph which contains two spanning trees T1 and T2 that do not share any edges (note that G may contain edges that are in neither trees). Prove that G does not have a bridge.

I have a hint for the answer: Show that each edge is in a cycle (2 cases). But I can't figure out the 2 cases. Some help please!

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