But a new proof shows that for the quintessential path-finding problem, one algorithm is close to ideal: Assuming worst-case traffic patterns, it’s the best approach on every possible street grid.

Theoretical: Shifts understanding of shortest-path computation for directed graphs. Inspires new research avenues for optimal graph algorithms free from sorting constraints. Provides evidence that ...

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.

The problem is to find the earliest starting times for all operations. This problem generalizes the shortest path problem and the critical path problem. The complexity of the suggested algorithm is O ...