Deterministic Sparse Suffix Sorting in the Restore Model

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Abstract
Given a text T of length n , we propose a deterministic online algorithm computing the sparse suffix array and the sparse longest common prefix array of T in O( c √ lg n + m lg m lg n lg * n ) time with O( m ) words of space under the premise that the space of T is rewritable, where m ≤ n is the number of suffixes to be sorted (provided online and arbitrarily), and c is the number of characters with m ≤ c ≤ n that must be compared for distinguishing the designated suffixes.
Funding Information
  • Japan Society for the Promotion of Science (JP19K20213, JP18F18120)

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