Abstract
In this paper, we study the CONNECTED H-HITTING SET and DOMINATING SET problems from the perspective of approximate kernelization, a framework recently introduced by Lokshtanov et al. [STOC 2017]. For the CONNECTED H-HITTING SET problem, we obtain an α-approximate kernel for every α>1 and complement it with a lower bound for the natural weighted version. We then perform a refined analysis of the tradeoff between the approximation factor and kernel size for the DOMINATING SET problem on d-degenerate graphs, and provide an interpolation of approximate kernels between the known 3d-approximate kernel of constant size and 1-approximate kernel of size kO(d2).
Original language | English |
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Pages (from-to) | 158-170 |
Number of pages | 13 |
Journal | Journal of Computer and System Sciences |
Volume | 105 |
DOIs | |
State | Published - 1 Nov 2019 |
Keywords
- Kernelization
- Parameterized complexity
- Vertex deletion problems
ASJC Scopus subject areas
- Theoretical Computer Science
- General Computer Science
- Computer Networks and Communications
- Computational Theory and Mathematics
- Applied Mathematics