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arXiv · 2604.27548

Smallest suffixient set maintenance in near-real-time

Dominik Köppl·Gregory Kucherov
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Abstract

The size of the \textit{smallest suffixient set} of positions of a string recently emerged as a new measure of string \textit{repetitiveness} -- a measure reflecting how much of repetitive content the string contains. We study how to maintain the smallest suffixient set online in near-real-time, that is with small (in our case, polyloglog) worst-case time on processing each letter. Two frameworks are considered: when the text is given letter-by-letter in either a right-to-left or left-to-right direction. Our central algorithmic tool is Weiner's suffix tree algorithm and associated algorithmic primitives for its efficient implementation.

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Dominik Köppl, Gregory Kucherov. 2026-04-30. Smallest suffixient set maintenance in near-real-time. https://arxiv.org/abs/2604.27548

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