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arXiv · 2110.08106

Compact representation for matrices of bounded twin-width

Michał Pilipczuk·Marek Sokołowski·Anna Zych-Pawlewicz
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Abstract

For every fixed $d \in \mathbb{N}$, we design a data structure that represents a binary $n \times n$ matrix that is $d$-twin-ordered. The data structure occupies $O_d(n)$ bits, which is the least one could hope for, and can be queried for entries of the matrix in time $O_d(\log \log n)$ per query.

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Michał Pilipczuk, Marek Sokołowski, Anna Zych-Pawlewicz. 2021-10-15. Compact representation for matrices of bounded twin-width. https://arxiv.org/abs/2110.08106

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