π
π
The Cartographer
On Maximum Bipartite Matching with Separation
March 04, 2023 Β· Declared Dead Β· π Information Processing Letters
"No code URL or promise found in abstract"
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Authors
Pasin Manurangsi, Erel Segal-Halevi, Warut Suksompong
arXiv ID
2303.02283
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.CC
Citations
3
Venue
Information Processing Letters
Last Checked
4 months ago
Abstract
Maximum bipartite matching is a fundamental algorithmic problem which can be solved in polynomial time. We consider a natural variant in which there is a separation constraint: the vertices on one side lie on a path or a grid, and two vertices that are close to each other are not allowed to be matched simultaneously. We show that the problem is hard to approximate even for paths, and provide constant-factor approximation algorithms for both paths and grids.
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