Upper and Lower Bounds for Weak Backdoor Set Detection
Abstract
We obtain upper and lower bounds for running times of exponential time algorithms for the detection of weak backdoor sets of 3CNF formulas, considering various base classes. These results include (omitting polynomial factors), (i) a 4.54^k algorithm to detect whether there is a weak backdoor set of at most k variables into the class of Horn formulas; (ii) a 2.27^k algorithm to detect whether there is a weak backdoor set of at most k variables into the class of Krom formulas. These bounds improve an earlier known bound of 6^k. We also prove a 2^k lower bound for these problems, subject to the Strong Exponential Time Hypothesis.
Cite
@article{arxiv.1304.5518,
title = {Upper and Lower Bounds for Weak Backdoor Set Detection},
author = {Neeldhara Misra and Sebastian Ordyniak and Venkatesh Raman and Stefan Szeider},
journal= {arXiv preprint arXiv:1304.5518},
year = {2013}
}
Comments
A short version will appear in the proceedings of the 16th International Conference on Theory and Applications of Satisfiability Testing