Shortest path algorithms sit at the heart of modern graph theory and many of the systems that move people, data, and goods around the world. After nearly seventy years of relying on the same classic ...

As we draw closer to Christmas and winter sets in, the days become shorter and darker, with the winter solstice marking the shortest day of the year. But when exactly is the shortest day of the year, ...

When Edsger W. Dijkstra published his algorithm in 1959, computer networks were barely a thing. The algorithm in question found the shortest path between any two nodes on a graph, with a variant ...

Python simulation of the London Underground network that finds the fastest route between stations using weighted graph algorithms. Includes dynamic connections and optimization for travel time and ...

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 ...

Abstract: Counting the number of shortest paths between two query vertices on road networks has a wide range of applications and has recently drawn significant research attention. The state-of-the-art ...

—you’re not alone. This issue occurs when Windows can’t locate Python’s executable in your system’s PATH. Luckily, there are several simple ways to fix it, so you can run Python and pip from any ...

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.