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Let's assume, that we have directed asyclic graph and nodes U and V. Every edge of this graph is marked with alphabet letter (alphabet size is fixed). Is there any way to answer, what is the shortest lexicographical path from U to V in $O(|V| + |E|)$ time? The fastest I can get is $O(|V| + |E|^2)$.

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    $\begingroup$ What is the definition of a lexicographical path? $\endgroup$
    – Gamow
    Oct 4, 2021 at 12:13

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