The original version of this story appeared in Quanta Magazine. 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 ...

Given an unweighted graph represented using adjacency lists and a source vertex s, compute the shortest path from the source vertex to all other vertices.

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 ...

For decades, engineers have utilized Petri nets to develop automated systems with specific functional requirements or characteristics. Nonetheless, the existing formalism prevents the use of classic ...

Abstract: Shortest path mining is one of the classic problems in graph theory. How to design an efficient multi-source shortest paths mining algorithm has practical significance. In this article, an ...

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 ...

Throwing the deep ball to wide receiver Calvin Ridley hasn’t been a very productive strategy for the Titans this season. So in their continuing efforts to get the ball in Ridley’s hands, the Titans ...

In recent years, the Massively Parallel Computation (MPC) model has gained significant attention. However, most of distributed and parallel graph algorithms in the MPC model are designed for static ...