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arXiv · 2602.18770

Dynamic data structures for twin-ordered matrices

Bartłomiej Bosek·Jadwiga Czyżewska·Evangelos Kipouridis·Wojciech Nadara·Michał Pilipczuk·Karol Węgrzycki·Anna Zych-Pawlewicz
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Abstract

We present a dynamic data structure for representing binary $n\times n$ matrices that are $d$-twin-ordered, for a~fixed parameter $d$. Our structure supports cell queries and single-cell updates both in $\Oh(\log \log n)$ expected worst case time, while using $\Oh_d(n)$ memory; here, the $\Oh_d(\cdot)$ notation

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Bartłomiej Bosek, Jadwiga Czyżewska, Evangelos Kipouridis, Wojciech Nadara, Michał Pilipczuk, Karol Węgrzycki, Anna Zych-Pawlewicz. 2026-02-21. Dynamic data structures for twin-ordered matrices. https://arxiv.org/abs/2602.18770

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