Complexity theorists sort problems into categories, called complexity classes, based on the resource demands of the best algorithms for solving them—that is, the algorithms that run fastest or ...

Technical Terms Complexity Theory: The study of the intrinsic difficulty of computational problems and the classification of algorithms according to the resources required for their solution.

These algorithms are significant because they can solve the noncommutative weighted Edmonds' problem in polynomial time, demonstrating that certain complex problems can be tackled efficiently [2].