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arXiv:2610.39482 · v1

Substring Complexity in BWT-Runs Bounded Space

首次提交 2026-10-29 14:48
版本更新 2026-10-29 14:48
雷达观测 2026-10-30 11:25
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摘要

Given a string $T[1..n]$, its substring complexity is defined as $δ=\max_k d_k/k$, where $d_k$ is the number of its distinct substrings of length $k$ in $T$. We show how to compute it in $O(n+r\log r)$ time, using only $O(r)$ words of space, where $r$ denotes the number of runs in the Burrows-Wheeler transform.

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v1 · 2026-10-29 14:48 · 最新观测版本

Substring Complexity in BWT-Runs Bounded Space

Given a string $T[1..n]$, its substring complexity is defined as $δ=\max_k d_k/k$, where $d_k$ is the number of its distinct substrings of length $k$ in $T$. We show how to compute it in $O(n+r\log r)$ time, using only $O(r)$ words of space, where $r$ denotes the number of runs in the Burrows-Wheeler transform.

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