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## Main Question or Discussion Point

Hello! This question seems simple but I think I'll need your help to prove it.

Prove that if there are vertices x and y in V(G) such that G contains three independent x-y paths then G contains an even cycle.

Thank you in advance.

Prove that if there are vertices x and y in V(G) such that G contains three independent x-y paths then G contains an even cycle.

Thank you in advance.