Sidestepping Barriers for Dominating Set in Parameterized Complexity
Data Structures and Algorithms
2023-09-28 v1
Abstract
We study the classic {\sc Dominating Set} problem with respect to several prominent parameters. Specifically, we present algorithmic results that sidestep time complexity barriers by the incorporation of either approximation or larger parameterization. Our results span several parameterization regimes, including: (i,ii,iii) time/ratio-tradeoff for the parameters {\em treewidth}, {\em vertex modulator to constant treewidth} and {\em solution size}; (iv,v) FPT-algorithms for the parameters {\em vertex cover number} and {\em feedback edge set number}; and (vi) compression for the parameter {\em feedback edge set number}.
Cite
@article{arxiv.2309.15645,
title = {Sidestepping Barriers for Dominating Set in Parameterized Complexity},
author = {Ioannis Koutis and Michał Włodarczyk and Meirav Zehavi},
journal= {arXiv preprint arXiv:2309.15645},
year = {2023}
}
Comments
Accepted to IPEC'23