Even Faster Exact Bandwidth

Marek Cygan; Marcin Pilipczuk

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arXiv · 0902.1661

Even Faster Exact Bandwidth

Marek Cygan·Marcin Pilipczuk

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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.

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Marek Cygan, Marcin Pilipczuk. 2009-02-10. Even Faster Exact Bandwidth. https://arxiv.org/abs/0902.1661

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