Structure

Every suffix ends at a leaf. Each edge labeled with a substring. Internal nodes have ≥ 2 children.

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Space + time

O(N) size + O(N) construction via Ukkonen's algorithm. Complex but linear.

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What it enables

  • Substring search: O(P)
  • LCS of two strings: O(N + M)
  • Repeated substrings
  • Longest palindromic substring