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The edit distance (also: Levenshtein distance) between two strings measures the number of insertions and deletions it takes to convert one string to another.

1 vote

What is the error when using Levenshtein distance on flattened binary trees?

This approximation is essentially arbitrarily bad. Suppose you have a complete binary tree $T$ containing $2^k - 1$ nodes, of which the bottom $2^{k-1}$ are leaves. Let $u$ and $v$ be the left and r …
j_random_hacker's user avatar
3 votes

Edit distance of list with unique elements

TL;DR: A slightly more restrictive kind of edit distance, in which we can only insert and delete individual characters, can be computed in linearithmic time when both (or even just one) of the strings …
j_random_hacker's user avatar