If you have a process that is O(n<sup>3</sup>), and you can improve it to O(mn<sup>2</sup>) where m << n, but still scales [very weakly) with n, is the improved process O[n<sup>2</sup>) or ...
There is a new sorting algorithm a deterministic O(m log2/3 n)-time algorithm for single-source shortest paths (SSSP) on directed graphs with real non-negative edge weights in the comparison-addition ...
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