Question
Let $T$ be any tournament. Prove that it is possible to change the direction of at most one arc in order to obtain a tournament with a directed Hamilton cycle.
Step 1
Let this path be $P = v_1 \to v_2 \to \cdots \to v_k$. Since $T$ is a tournament, there must be an arc between $v_k$ and $v_1$. Show more…
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