Polynomial-time reduction is a concept in computational complexity theory that describes a way to show that one problem can be transformed into another problem in polynomial time. It serves as a fundamental technique for classifying the difficulty of computational problems and understanding their relationships. ### Key Concepts: 1. **Problem Mapping**: In polynomial-time reduction, we have two problems, let's say Problem A and Problem B. We want to show that Problem A is at most as hard as Problem B.
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A polynomial-time reduction transforms instances of one computational problem into instances of another using a polynomial-time algorithm.