Abstract
We propose a framework for the complexity of algorithms for FPT problems with two separate parameters k,m and with exponential time bounds O *(x k y m) where x,y > 1 are constant bases. An optimal combination of bases x,y can be chosen depending on the ratio m/k. As a first illustration we apply the framework to the problem of finding, in a graph, a vertex cover of size k that leaves at most m edges uncovered. We report the best branching rules we could find so far, for all ranges of ratio m/k.
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Damaschke, P. (2009). Pareto Complexity of Two-Parameter FPT Problems: A Case Study for Partial Vertex Cover. In: Chen, J., Fomin, F.V. (eds) Parameterized and Exact Computation. IWPEC 2009. Lecture Notes in Computer Science, vol 5917. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11269-0_9
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DOI: https://doi.org/10.1007/978-3-642-11269-0_9
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