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Erschienen in:
2012 | OriginalPaper | Buchkapitel
On the Space Complexity of Parameterized Problems
verfasst von : Michael Elberfeld, Christoph Stockhusen, Till Tantau
Erschienen in: Parameterized and Exact Computation
Verlag: Springer Berlin Heidelberg
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Parameterized complexity theory measures the complexity of computational problems predominantly in terms of their parameterized
time
complexity. The purpose of the present paper is to demonstrate that the study of parameterized
space
complexity can give new insights into the complexity of well-studied parameterized problems like the feedback vertex set problem. We show that the undirected and the directed feedback vertex set problems have different parameterized space complexities, unless L = NL; which explains why the two problem variants seem to necessitate different algorithmic approaches even though their parameterized time complexity is the same. For a number of further natural parameterized problems, including the longest common subsequence problem and the acceptance problem for multi-head automata, we show that they lie in or are complete for different parameterized space classes; which explains why previous attempts at proving completeness of these problems for parameterized time classes have failed.