Let T be a graph. Suppose there is a unique path between every pair of vertices...

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Advance Math

Let T be a graph. Suppose there is a unique path between everypair of vertices in T. Prove that T is a tree.

Can I do this using the contraposative? Like Let u,v be in T andsince I am assuming T to not be a tree this allows cycles to occurthus the paths must not be unique. Am I on the right track?

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Yes your approach    See Answer
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