The X logo appears on a smartphone screen. (Photo by Nikolas Kokovlis/NurPhoto via Getty Images) (NurPhoto via Getty Images) When X's engineering team published the code that powers the platform's ...

A recent breakthrough of Bernstein, Nanongkai, and Wulff-Nilsen established the first near-linear time algorithm for negative-weight single-source shortest paths on integer-weighted graphs. We refine ...

Modern technology runs on algorithms, but one stands above all others in terms of impact. From computing and communication to science and everyday digital life, this algorithm quietly shaped how the ...

Abstract: Path finding is a technique that is employed extensively for determination of Shortest Path (SP) between source node and destination node. There are various path-finding algorithms like ...

"Breaking the Sorting Barrier for Directed Single-Source Shortest Paths" by Ran Duan, Jiayi Mao, Xiao Mao, Xinkai Shu, and Longhui Yin (2025) Use the road_network_benchmark example to evaluate the ...

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 ...

A header-only C++ implementation of the single-source shortest path (SSSP) algorithm for sparse directed graphs with non-negative weights, based on the 2025 paper by Duan et al. This algorithm is ...

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.