Abstract: The shortest path problem is a widely recognized and fundamental optimization problem in operations research. Nearly all practical implementations of the shortest path issue include ...

Most of you have used a navigation app like Google Maps for your travels at some point. These apps rely on algorithms that compute shortest paths through vast networks. Now imagine scaling that task ...

This past spring, a biotech company announced the first use of a new gene-editing technology in people to fix an errant gene that causes a severe immune disorder. In June, a baby born with a ...

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 ...

The All-Pairs Shortest Paths Problem, Seeking the Shortest Distance Between Every Node Pair in a Graph, is Efficiently Solved by Johnson's Algorithm for All Pairs of a Vertext, Bellman-Ford for ...

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 ...

This project implements a solution for the Travelling Salesman Problem (TSP) using bitmasking and dynamic programming. It calculates the shortest possible route that visits every city exactly once and ...

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.