A header-only C++ implementation of the single-source shortest path (SSSP) algorithm for sparse directed graphs with non-negative weights, based on the 2025 paper by Duan et al. This algorithm is ...

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 ...

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 ...

Dijkstra’s algorithm is great as long as we have no negative weight edges in our graph. But there are many problems for which it is natural to represent weights with positive and negative values—gains ...

In algorithms, as in life, negativity can be a drag. Consider the problem of finding the shortest path between two points on a graph — a network of nodes connected by links, or edges. Often, these ...

OSPF (Open Shortest Path First) is a link state routing Protocol, a type of the Internal Gateway Protocol (IGP), which was designed to scale and support more extensive networks. To find the shortest ...