1: How do approximation-preserving reductions work in complexity theory?
2: What is the significance of self-reducibility in NP-complete problems?
3: How do fixed-parameter tractability and kernelization relate to complexity classes?
4: What is the role of W-hierarchy in parameterized complexity theory?
5: How do you define a problem as fixed-parameter tractable (FPT)?
6: What is the significance of kernelization in parameterized complexity?
7: How do approximation algorithms handle NP-hard problems in TOC?
8: What is the importance of gap problems in complexity theory?
9: How does the class AM (Arthur-Merlin) extend interactive proofs?
10: What is the significance of space complexity classes like L and NL?
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