Why is a straight line always the shortest path between two points? 📐 This video explains the result using a variational approach, showing how minimizing distance leads naturally to a straight line ...

Everyone knows that the path of least resistance is the path that will always be taken, be it by water, electricity or the feet of humans. This is where the PCB presented by [ElectrArc240] on YouTube ...

Not long ago, AI agents were harmless. They wrote snippets of code. They answered questions. They helped individuals move a little faster. Then organizations got ambitious. Instead of personal ...

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 ...

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.

The current implementation of the breadth_first_search_shortest_path_2.py uses a Python list to simulate a queue. However, using a list for this purpose might be ...

Abstract: Graph theory is a critical field in computer science and mathematics, particularly in solving shortest path problems. In this paper, a comparative analysis of Breadth-First Search (BFS) and ...