 Furthermore, our algorithms have a space complexity of \textit{  O(mn^2) whereas ParallelCut had a space complexity of \textit{  O(m^2n^2).
<clarity>  Furthermore, our algorithms have a space complexity of \textit{  O(mn^2) whereas ParallelCut had a space complexity of \textit{  O(m^2n^2).
 Furthermore, our algorithms improve upon the space complexity of \textit{ O(mn^2) whereas ParallelCut had a space complexity of \textit{ O(m^2n^2).