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Laminar Matroid Secretary: Greedy Strikes Back

Authors Zhiyi Huang , Zahra Parsaeian, Zixuan Zhu

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Author Details

Zhiyi Huang
  • Department of Computer Science, The University of Hong Kong, Hong Kong
Zahra Parsaeian
  • University of Freiburg, Germany
Zixuan Zhu
  • Department of Computer Science, The University of Hong Kong, Hong Kong

Funding

This work is supported by General Research Fund from Research Grants Council of Hong Kong (Grand No. 17211723).

Cite AsGet BibTex

Zhiyi Huang, Zahra Parsaeian, and Zixuan Zhu. Laminar Matroid Secretary: Greedy Strikes Back. In 32nd Annual European Symposium on Algorithms (ESA 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 308, pp. 73:1-73:8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
https://doi.org/10.4230/LIPIcs.ESA.2024.73

Abstract

We show that a simple greedy algorithm is 4.75-competitive for the Laminar Matroid Secretary Problem, improving the 3√3 ≈ 5.196-competitive algorithm based on the forbidden sets technique (Soto, Turkieltaub, and Verdugo, 2018).

Subject Classification

ACM Subject Classification
  • Theory of computation → Online algorithms
Keywords
  • Matroid Secretary
  • Greedy Algorithm
  • Laminar Matroid

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Supplementary Materials

References

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