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 ...

Ran Duan, Jiayi Mao, Xiao Mao, Xinkai Shu, Longhui Yin (2025): Breaking the Sorting Barrier for Directed Single-Source Shortest Paths“. 57th Annual ACM Symposium on Theory of Computing (STOC). Faster ...

Finding the shortest path in a network is a classical problem, and a variety of search strategies have been proposed to solve it. In this paper, we review traditional approaches for finding shortest ...

Graph theory is an integral component of algorithm design that underlies sparse matrices, relational databases, and networks. Improving the performance of graph algorithms has direct implications to ...

The Department of Marine Technology, Ocean University of China, Qingdao, China Coverage path planning (CPP) for target search by autonomous unmanned vehicle (AUV) involves two crucial aspects: (1) the ...

Dominik Bošnjak is a freelance writer from Croatia. He has been writing about games for as long as he can remember and began doing so professionally circa 2010. If he was forced to pick a favorite ...