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arXiv · 1311.2466

Parameterized Approximation Schemes using Graph Widths

Michael Lampis
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Abstract

Combining the techniques of approximation algorithms and parameterized complexity has long been considered a promising research area, but relatively few results are currently known. In this paper we study the parameterized approximability of a number of problems which are known to be hard to solve exactly when parameterized by treewidth or clique-width. Our main contribution is to present a natural randomized rounding technique that extends well-known ideas and can be used for both of these widths. Applying this very generic technique we obtain approximation schemes for a number of problems, evading both polynomial-time inapproximability and parameterized intractability bounds.

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Michael Lampis. 2014-02-16. Parameterized Approximation Schemes using Graph Widths. https://arxiv.org/abs/1311.2466

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