In such cases, the fastest known shortest-path algorithm doesn’t work. For decades, fast algorithms for finding shortest paths on negative-weight graphs have remained elusive.

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 ...

But solving the single source shortest path problem has allowed researchers to create a superb algorithm that becomes almost impossible to beat with regards to speed.

He didn’t think to ask whether the same condition was achievable for the classic single-source shortest-paths problem. That would have to wait until a different graduate student dared to dream big.

One of the most classic algorithmic problems deals with calculating the shortest path between two points. A more complicated variant of the problem is when the route traverses a changing network ...

The Ant Colony Optimization (ACO) algorithm is a metaheuristic nature-inspired technique for solving various combinatorial optimization problems. The shortest-path problem is an important ...