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Compact Representation for Matrices of Bounded Twin-Width

Authors Michał Pilipczuk, Marek Sokołowski, Anna Zych-Pawlewicz

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Author Details

Michał Pilipczuk
  • Institute of Informatics, University of Warsaw, Poland
Marek Sokołowski
  • Institute of Informatics, University of Warsaw, Poland
Anna Zych-Pawlewicz
  • Institute of Informatics, University of Warsaw, Poland

Funding

This work is a part of projects that have received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme, grant agreements No. 948057 (Mi. Pilipczuk, M. Sokołowski) and 714704 (A. Zych-Pawlewicz).

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Michał Pilipczuk, Marek Sokołowski, and Anna Zych-Pawlewicz. Compact Representation for Matrices of Bounded Twin-Width. In 39th International Symposium on Theoretical Aspects of Computer Science (STACS 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 219, pp. 52:1-52:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022) https://doi.org/10.4230/LIPIcs.STACS.2022.52

Abstract

For every fixed d ∈ ℕ, we design a data structure that represents a binary n × 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.

Subject Classification

ACM Subject Classification
  • Theory of computation → Design and analysis of algorithms
Keywords
  • twin-width
  • compact representation
  • adjacency oracle

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References

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