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.

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 ...

Dijkstra's Algorithm – for finding the shortest paths from a source node. Kruskal's Algorithm – for computing a Minimum Spanning Tree (MST). DFS with Topological Sort and Cycle Detection – for ...

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 ...

ABSTRACT: Autonomous robotics is one of the key subjects of this generation of research and has grown to be more and more popular in recent years, especially in such industries, hospitals, hotels, and ...

If you’ve been making the same commute for a long time, you’ve probably settled on what seems like the best route. But “best” is a slippery concept. Perhaps one day there’s an accident or road closure ...