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ALGORITHMICA
2010

Fixed-Parameter Approximation: Conceptual Framework and Approximability Results

8 years 11 months ago
Fixed-Parameter Approximation: Conceptual Framework and Approximability Results
The notion of fixed-parameter approximation is introduced to investigate the approximability of optimization problems within the framework of fixed-parameter computation. This work partially aims at enhancing the world of fixed-parameter computation in parallel with the conventional theory of computation that includes both exact and approximate computations. In particular, it is proved that fixed-parameter approximability is closely related to the approximation of small-cost solutions in polynomial time. It is also demonstrated that many fixedparameter intractable problems are not fixed-parameter approximable. On the other hand, fixed-parameter approximation appears to be a viable approach to solving some inapproximable yet important optimization problems. For instance, all problems in the class MAX SNP admit fixed-parameter approximation schemes in time O(2O((1- /O(1))k) p(n)) for any small > 0.
Liming Cai, Xiuzhen Huang
Added 08 Dec 2010
Updated 08 Dec 2010
Type Journal
Year 2010
Where ALGORITHMICA
Authors Liming Cai, Xiuzhen Huang
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