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 ...

If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle the easiest pieces first. But this kind of sorting has a cost.

Author: Tyler Ward Version: 11/25/24 OS: Mac Compilation: use g++ -std=c++20 Graph.cpp Bugs: None Summary: I starting with all the reading in and printing out aspects. I then realized alot of that was ...

Dijkstra’s algorithm is great as long as we have no negative weight edges in our graph. But there are many problems for which it is natural to represent weights with positive and negative values—gains ...

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If you’ve been making the same commute for a long time, you’ve probably settled on what seems like the best route. But “best” is a slippery concept. Perhaps one day there’s an accident or road closure ...