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Let T be a tree of order at least 4, and let e1, e2, e3 belong E(T^). Prove that T+e1 +e2+ e3 is planar.

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Let T be a tree of order at least 4, and let e1, e2, e3 belong E(T^), T^ means Complement of T.

Prove that T+e1 +e2+ e3 is planar.

Please, draw the graph and explain it step by step.

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A tree proof is provided.

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