A parameterized approximation algorithm is a type of algorithm designed to solve optimization problems while providing guarantees on both the quality of the solution and the computational resources used. Specifically, these algorithms are particularly relevant in the fields of parameterized complexity and approximation algorithms. ### Key Concepts: 1. **Parameterized Complexity**: - This area of computational complexity theory deals with problems based on two distinct aspects: the input size \( n \) and a secondary parameter \( k \).

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