Polynomial Time Reduction

Polynomial time reduction is a method used in computer science to show that one problem can be transformed into another problem efficiently. If problem A can be reduced to problem B in a way that the transformation takes a reasonable amount of time (specifically, time that scales polynomially with input size), then solving B can help solve A. This helps researchers understand problem difficulty and whether solutions to some problems make others easier or more manageable, by demonstrating a systematic way to convert complex problems into potentially easier or well-understood ones within practical time limits.