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 ...

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.

Graph theory is an integral component of algorithm design that underlies sparse matrices, relational databases, and networks. Improving the performance of graph algorithms has direct implications to ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Joshua has been playing video games for as long as he can remember. He's currently playing just about any and every new AAA story-based game. In his free time, he enjoys buying, building, painting, ...

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 ...

Computational: We take random inputs, follow complex steps, and hope the output makes sense. And then blog about it. Computational: We take random inputs, follow complex steps, and hope the output ...

In this post, I demonstrate how you can extend the classic implementation of the Floyd-Warshall algorithm with route tracking capability to reconstruct the shortest paths routes later. In the previous ...