Abstract
We give an O(nlogn)-time, O(n)-space algorithm for factoring a string into the minimum number of palindromic substrings. That is, given a string S[1..n], in O(nlogn) time our algorithm returns the minimum number of palindromes S1,…,Sℓ such that S=S1⋯Sℓ. We also show that the time complexity is O(n) on average and Ω(nlogn) in the worst case. The last result is based on a characterization of the palindromic structure of Zimin words.
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