An exact algorithm with the time complexity of $O^{\ast }({1.299}^m)$ for the weighed mutually exclusive set cover problem

In this paper, we will introduce an exact algorithm with a time complexity of $O^{\ast }({1.299}^m)$ for the {\sc weighted mutually exclusive set cover} problem, where $m$ is the number of subsets in the problem. This problem has important applications in recognizing mutation genes that cause different cancer diseases.