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 ...

Google released the December 2025 core update today, the company announced. This is the third core update of 2025 and the fourth major Google algorithm update overall. Earlier this year, Google rolled ...

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 ...

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 ...

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.

Abstract: Dijkstra’s shortest path algorithm is a fundamental graph search method widely used in domains such as navigation, robotics, gaming, and network routing. However, its performance can degrade ...

1 Department of Industrial Engineering and Maintenance, Polytechnic University of Mongo, Mongo, Chad. 2 Department of Technical Sciences, University of N’Djamena, N’Djamena, Chad. 3 Department of ...

In the Dijkstra algorithm, when a shorter path to a neighbor is found, the neighbor's priority in the priority queue should be updated regardless of whether it is already present in the queue. In this ...