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The Cartographer
Understanding Zadimoghaddam's Edge-weighted Online Matching Algorithm: Weighted Case
October 08, 2019 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Zhiyi Huang
arXiv ID
1910.03287
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.GT
Citations
5
Venue
arXiv.org
Last Checked
4 months ago
Abstract
This article presents a simplification of Zadimoghaddam's algorithm for the edge-weighted online bipartite matching problem, under the online primal dual framework. In doing so, we obtain an improved competitive ratio of $0.514$. We first combine the online correlated selection (OCS), an ingredient distilled from Zadimoghaddam (2017) by Huang and Tao (2019), and an interpretation of the edge-weighted online bipartite matching problem by Devanur et al. (2016) which we will refer to as the complementary cumulative distribution function (CCDF) viewpoint, to derive an online primal dual algorithm that is $0.505$-competitive. Then, we design an improved OCS which gives the $0.514$ ratio.
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