Most of you have used a navigation app like Google Maps for your travels at some point. These apps rely on algorithms that ...

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 ...

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 ...

"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 ...

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 ...

ABSTRACT: In any military operation, reliable logistics is essential to maintaining a combat-effective force. Without the continual resupply of ammunition, food, and other materiel, forces cannot ...

Sakana AI released an open-source algorithm on Tuesday, which allows multiple artificial intelligence (AI) models to collaborate on complex problems. Dubbed Adaptive Branching Monte Carlo Tree Search ...