Linear Kernelizations for Restricted 3-Hitting Set Problems

Xuan Cai

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arXiv · 0809.0257

Linear Kernelizations for Restricted 3-Hitting Set Problems

Xuan Cai

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Abstract

The 3-\textsc{Hitting Set} problem is also called the \textsc{Vertex Cover} problem on 3-uniform hypergraphs. In this paper, we address kernelizations of the \textsc{Vertex Cover} problem on 3-uniform hypergraphs. We show that this problem admits a linear kernel in three classes of 3-uniform hypergraphs. We also obtain lower and upper bounds on the kernel size for them by the parametric duality.

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Xuan Cai. 2008-09-20. Linear Kernelizations for Restricted 3-Hitting Set Problems. https://arxiv.org/abs/0809.0257

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