The core theory presented is **NP-completeness** within computational complexity and algorithm design, specifically regarding the minimax scheduling problem on identical processors where minimizing makespan is NP-hard. The domain relies on formal reductions between decision problems (e.g., verifying if a perfect matching exists in an input graph) to determine theoretical hardness bounds. This concept belongs to Computer Science theory, establishing that no polynomial-time heuristic can universally solve such optimization problems without risking exponential time complexity relative to problem size constraints like the number of jobs $N$.
The core theory presented is **NP-completeness** within computational complexity and algorithm design, specifically regarding the minimax scheduling problem on identical processors where minimizing m…