Three-dimensional matching is NP-Hard

Shrinu Kushagra

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arXiv · 2003.00336

Three-dimensional matching is NP-Hard

Shrinu Kushagra

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Abstract

The standard proof of NP-Hardness of 3DM provides a power-$4$ reduction of 3SAT to 3DM. In this note, we provide a linear-time reduction. Under the exponential time hypothesis, this reduction improves the runtime lower bound from $2^{o(\sqrt[4]{m})}$ (under the standard reduction) to $2^{o(m)}$.

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Shrinu Kushagra. 2020-02-29. Three-dimensional matching is NP-Hard. https://arxiv.org/abs/2003.00336

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