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Pairwise-Independent Contention Resolution
- Publication Year :
- 2024
-
Abstract
- 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 $\Omega(1)$-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 $\omega(1/k)$-selectable OCRS exists in the PI setting for general matroids of rank $k$.<br />Comment: Contains new results on t-wise independent CRSs
- Subjects :
- Computer Science - Data Structures and Algorithms
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2406.15876
- Document Type :
- Working Paper