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APPROXIMATING A PARALLEL TASK SCHEDULE USING MINIMUM K-CUT

Presented are two new approximation algorithms for solving two different NP-hard graph problems. The first is the minimum k-cut problem. The new algorithm runs within the same time complexity as the current best-known algorithm and may have equal or better performance given any input. The second new algorithm uses the k-cut algorithm to approximate a solution to the parallel task scheduling problem. Both of these problems have important applications in the real world. Also discussed are the algorithms that lead up to the new ones, along with their respective applications.