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Laminar Matroid Secretary: Greedy Strikes Back

Authors: Zhiyi Huang, Zahra Parsaeian, and Zixuan Zhu

Published in: LIPIcs, Volume 308, 32nd Annual European Symposium on Algorithms (ESA 2024)


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).

Cite as

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)


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@InProceedings{huang_et_al:LIPIcs.ESA.2024.73,
  author =	{Huang, Zhiyi and Parsaeian, Zahra and Zhu, Zixuan},
  title =	{{Laminar Matroid Secretary: Greedy Strikes Back}},
  booktitle =	{32nd Annual European Symposium on Algorithms (ESA 2024)},
  pages =	{73:1--73:8},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-338-6},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{308},
  editor =	{Chan, Timothy and Fischer, Johannes and Iacono, John and Herman, Grzegorz},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ESA.2024.73},
  URN =		{urn:nbn:de:0030-drops-211443},
  doi =		{10.4230/LIPIcs.ESA.2024.73},
  annote =	{Keywords: Matroid Secretary, Greedy Algorithm, Laminar Matroid}
}
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