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Linear Kernelizations for Restricted 3-Hitting Set Problems

Computational Complexity 2008-09-20 v4

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.

Cite

@article{arxiv.0809.0257,
  title  = {Linear Kernelizations for Restricted 3-Hitting Set Problems},
  author = {Xuan Cai},
  journal= {arXiv preprint arXiv:0809.0257},
  year   = {2008}
}

Comments

12 pages

R2 v1 2026-06-21T11:15:43.319Z