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Computing Longest Lyndon Subsequences and Longest Common Lyndon Subsequences
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Abstract
Given a string T with length n whose characters are drawn from an ordered alphabet of size σ, its longest Lyndon subsequence is a longest subsequence of T that is a Lyndon word. We propose algorithms for finding such a subsequence in O(n 3) time with O(n) space, or online in O(n 3) space and time. Our first result can be extended to find the longest common Lyndon subsequence of two strings of length n in O(n 4 σ) time using O(n 2) space.
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Title: Computing Longest Lyndon Subsequences and Longest Common Lyndon Subsequences
Description:
Abstract
Given a string T with length n whose characters are drawn from an ordered alphabet of size σ, its longest Lyndon subsequence is a longest subsequence of T that is a Lyndon word.
We propose algorithms for finding such a subsequence in O(n 3) time with O(n) space, or online in O(n 3) space and time.
Our first result can be extended to find the longest common Lyndon subsequence of two strings of length n in O(n 4 σ) time using O(n 2) space.
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