Kharizmi helped solidify the concept of algorithms in mathematics and popularized algebra and the use of the zero.

Abstract: The selection of shortest path problem is one the classic problems in graph theory. In literature, many algorithms have been developed to provide a solution for shortest path problem in a ...

Abstract: Path optimization is especially useful for improving freight efficiency, and the problem of finding the maximum load path is an important issue in path optimization. Although the problem of ...

A header-only C++ implementation of the single-source shortest path (SSSP) algorithm for sparse directed graphs with non-negative weights, based on the 2025 paper by Duan et al. This algorithm is ...

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 ...

I'm a software developer and writer, passionate about learning and sharing knowledge and one way I do that is through writing. I'm a software developer and writer, passionate about learning and ...

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 ...

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

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 ...