"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 ...

data structure and algorith:This journey is not just about coding but also about developing problem-solving thinking, optimizing solutions, and building a strong foundation for coding interviews and ...

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 ...

Abstract: This study focuses on the urban transportation system by using the ant colony algorithm and Dijkstra's algorithm, aiming to comprehensively analyze the transportation system by combining ...

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.

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 ...

Abstract: For the shortest path problem of cyclic directed fully connected layer graph in several cycles, there is no excellent general solution algorithm in the literature. In this paper, we address ...