Abstract
The weighted m -d matching and m -set packing problems (m ≥ 3) are usually solved through approximation algorithms. In this paper, we define the parameterized versions of these problems and study their algorithms. For the weighted m -set packing problem, we develop a parameterized algorithm of running time O(12.8 mk n O(1)), which is based on the recently improved color-coding technology and dynamic programming. By refining the techniques, we also develop a more efficient parameterized algorithm of running time O(12.8(m − 1)k n O(1)) for the weighted m -d matching problem, which is a restricted version of the weighted m -set packing problem.
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