A framework for boosting matching approximation: parallel, distributed, and dynamic

This work designs a framework for boosting the approximation guarantee of maximum matching algorithms. As input, the framework receives a parameter ϵ > 0 and an oracle access to a Θ(1)-approximate maximum matching algorithm Ā. Then, by invoking Ā for poly(1/ϵ) many times, the framework outputs a 1 + ϵ approximation of a maximum matching. Our approach yields several improvements in terms of the number of invocations to Ā:

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Publication Details

Published
2025-07-16
DOI
https://doi.org/10.1145/3694906.3743312
Citations
1
Primary Topic
Complexity and Algorithms in Graphs
Type
article
Field-Weighted Citation Impact
1.50

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article

A framework for boosting matching approximation: parallel, distributed, and dynamic

Wen-Horng Sheu, Slobodan Mitrović
1 citations
Complexity and Algorithms in Graphs
1.50
article

A framework for boosting matching approximation: parallel, distributed, and dynamic

Wen-Horng Sheu, Slobodan Mitrović
article en
1 citations

Abstract

This work designs a framework for boosting the approximation guarantee of maximum matching algorithms. As input, the framework receives a parameter ϵ > 0 and an oracle access to a Θ(1)-approximate maximum matching algorithm Ā. Then, by invoking Ā for poly(1/ϵ) many times, the framework outputs a 1 + ϵ approximation of a maximum matching. Our approach yields several improvements in terms of the number of invocations to Ā:

University of Novi Sad (RS), University of California, Davis (US)
National Science Foundation, Simons Institute for the Theory of Computing, University of California Berkeley
Openalex Percentile: Top 15%
Complexity and Algorithms in Graphs
1.50
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