NP-Complete Problems

NP-Complete problems are a category of complex problems in computer science where no efficient solution is known. They involve tasks that are easy to verify if a solution is given but very challenging to solve quickly when the problem size grows. These problems are interconnected; solving one efficiently would mean all NP-Complete problems could be solved efficiently. Examples include the traveling salesman problem and scheduling puzzles. They are important because they help us understand the limits of computation and optimization, impacting fields like logistics, cryptography, and algorithm design.