Even Faster Exact Bandwidth
Computational Complexity
2009-02-11 v1 Data Structures and Algorithms
Abstract
We deal with exact algorithms for Bandwidth, a long studied NP-hard problem. For a long time nothing better than the trivial O*(n!) exhaustive search was known. In 2000, Feige an Kilian came up with a O*(10^n)-time algorithm. Recently we presented algorithm that runs in O*(5^n) time and O*(2^n) space.. In this paper we present a major modification to our algorithm which makes it run in O(4.83^n) time with the cost of O*(4^n) space complexity. This modification allowed us to perform Measure & Conquer analysis for the time complexity which was not used for such types of problems before.
Cite
@article{arxiv.0902.1661,
title = {Even Faster Exact Bandwidth},
author = {Marek Cygan and Marcin Pilipczuk},
journal= {arXiv preprint arXiv:0902.1661},
year = {2009}
}
Comments
Paper submitted to Transaction on Algorithms on 5th Nov 2008