By using new developed GPU-based min-reduction data parallel primitive in the key step of the algorithm, higher efficiency is achieved.

Complexity Theory and Polynomial Time Algorithms Publication Trend The graph below shows the total number of publications each year in Complexity Theory and Polynomial Time Algorithms.

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].