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prove that an edge e of a connected graph is a bridge if and only if (<=>) e bel

ID: 1892923 • Letter: P

Question

prove that an edge e of a connected graph is a bridge if and only if (<=>) e belongs to every spanning tree of G.

This is what I got so far.
=> Assume an edge e of a connected graph is a bridge. Let G be connected and with every e being a bridge then G is a tree. G is then a spanning tree.

This is where I am lost. I am not sure how to show e belongs to every spanning tree of G and then the other end of the proof.

I just may be making this harder than it seems. I am still a little confused on spanning trees.

Help would be great.

Explanation / Answer

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