Pairwise-Independent Contention Resolution
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913401797607424 |
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| author | Gupta, Anupam Hu, Jinqiao Kehne, Gregory Levin, Roie |
| author_facet | Gupta, Anupam Hu, Jinqiao Kehne, Gregory Levin, Roie |
| contents | We study online contention resolution schemes (OCRSs) and prophet inequalities for non-product distributions. Specifically, when the active set is sampled according to a pairwise-independent (PI) distribution, we show a $(1-o_k(1))$-selectable OCRS for uniform matroids of rank $k$, and $Ω(1)$-selectable OCRSs for laminar, graphic, cographic, transversal, and regular matroids. These imply prophet inequalities with the same ratios when the set of values is drawn according to a PI distribution. Our results complement recent work of Dughmi, Kalayci, and Patel (STOC '24) showing that no $ω(1/k)$-selectable OCRS exists in the PI setting for general matroids of rank $k$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15876 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pairwise-Independent Contention Resolution Gupta, Anupam Hu, Jinqiao Kehne, Gregory Levin, Roie Data Structures and Algorithms We study online contention resolution schemes (OCRSs) and prophet inequalities for non-product distributions. Specifically, when the active set is sampled according to a pairwise-independent (PI) distribution, we show a $(1-o_k(1))$-selectable OCRS for uniform matroids of rank $k$, and $Ω(1)$-selectable OCRSs for laminar, graphic, cographic, transversal, and regular matroids. These imply prophet inequalities with the same ratios when the set of values is drawn according to a PI distribution. Our results complement recent work of Dughmi, Kalayci, and Patel (STOC '24) showing that no $ω(1/k)$-selectable OCRS exists in the PI setting for general matroids of rank $k$. |
| title | Pairwise-Independent Contention Resolution |
| topic | Data Structures and Algorithms |
| url | https://arxiv.org/abs/2406.15876 |