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 ...

Researchers have successfully used a quantum algorithm to solve a complex century-old mathematical problem long considered impossible for even the most powerful conventional supercomputers. The ...

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 ...

Abstract: This paper presents a detailed comparison of three popular path-finding algorithms: BFS, Dijkstra’s algorithm, and A*, for solving 2D mazes. Path-finding is a widely studied problem in ...

Using an advanced Monte Carlo method, Caltech researchers found a way to tame the infinite complexity of Feynman diagrams and solve the long-standing polaron problem, unlocking deeper understanding of ...

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 ...

The original version of this story appeared in Quanta Magazine. For computer scientists, solving problems is a bit like mountaineering. First they must choose a problem to solve—akin to identifying a ...