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 ...

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 ...

ABSTRACT: The accurate prediction of backbreak, a crucial parameter in mining operations, has a significant influence on safety and operational efficiency. The occurrence of this phenomenon is ...

Hey! I noticed that the repo doesn’t yet have Dijkstra’s Algorithm, which is super useful for finding the shortest path in weighted graphs. I’d love to add it. Here’s what I plan to do: Implement ...

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.

1 Department of Industrial Engineering and Maintenance, Polytechnic University of Mongo, Mongo, Chad. 2 Department of Technical Sciences, University of N’Djamena, N’Djamena, Chad. 3 Department of ...

In the Dijkstra algorithm, when a shorter path to a neighbor is found, the neighbor's priority in the priority queue should be updated regardless of whether it is already present in the queue. In this ...

Spell checking is such a ubiquitous feature of today's software that we expect to see it in browsers and basic text editors, and on just about every computing device. However, 50 years ago, it was a ...

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 ...