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 ...

Abstract: Finding the shortest path is a classic problem, which is of great significance in robot pathfinding, automatic logistics distribution, map navigation, and other fields. When studying this ...

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 ...

This study introduces a relatively new numerical technique for solving one-dimensional Fisher’s equation. The proposed numerical technique is a simple direct meshless method, which is based on the ...

The original version of this story appeared in Quanta Magazine. 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 ...

1 Department of Civil and Environmental Engineering, Old Dominion University, Norfolk, USA. 2 Department of Mechanical and Aerospace Engineering, Old Dominion University, Norfolk, VA, USA. 3 ...

Abstract: Dijkstra algorithm is not improved in terms of space and time-complexity, the algorithm is muddled to apply in network analysis for enormous test cases. To handle this huge time complexity, ...

This project solves the problem of transporting heavy loads between cities by finding viable paths through viaducts with height restrictions, using a modified Dijkstra's algorithm for optimal routing.