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arXiv · 2007.11559

An Improved Approximation Algorithm for the Matching Augmentation Problem

J. Cheriyan·R. Cummings·J. Dippel·J. Zhu
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Abstract

We present a $\frac53$-approximation algorithm for the matching augmentation problem (MAP): given a multi-graph with edges of cost either zero or one such that the edges of cost zero form a matching, find a 2-edge connected spanning subgraph (2-ECSS) of minimum cost. A $\frac74$-approximation algorithm for the same problem was presented recently, see Cheriyan, et al., "The matching augmentation problem: a $\frac{7}{4}$-approximation algorithm," {\em Math. Program.}, 182(1):315--354, 2020; arXiv:1810.07816. Our improvement is based on new algorithmic techniques, and some of these may lead to advances on related problems.

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J. Cheriyan, R. Cummings, J. Dippel, J. Zhu. 2020-07-22. An Improved Approximation Algorithm for the Matching Augmentation Problem. https://arxiv.org/abs/2007.11559

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