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 ...

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 ...

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 ...

Abstract: Graph theory is a critical field in computer science and mathematics, particularly in solving shortest path problems. In this paper, a comparative analysis of Breadth-First Search (BFS) and ...

ABSTRACT: This paper proposes an efficient strategy for resource utilization in Elastic Optical Networks (EONs) to minimize spectrum fragmentation and reduce connection blocking probability during ...

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: Extensive study has been conducted on the problem of finding the shortest path in a graph, leading to the creation of several approaches. The effectiveness of the following algorithms in ...

1 School of Automation and Electrical Engineering, Tianjin University of Technology and Education, Tianjin, China. 2 School of Vocational Education, Tianjin University of Technology and Education, ...

In this post, I demonstrate how you can extend the classic implementation of the Floyd-Warshall algorithm with route tracking capability to reconstruct the shortest paths routes later. In the previous ...