Graph algorithms constitute a pivotal component of modern computational science, underpinning diverse applications ranging from transportation optimisation and telecommunications to social network ...

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 ...

One of the most classic algorithmic problems deals with calculating the shortest path between two points. A more complicated variant of the problem is when the route traverses a changing network - ...

The way we navigate in cities has been revolutionized in the last few years by the advent of GPS mapping programs. Enter your start and end location and these will give you the shortest route from A ...

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.

Hu and Torres have proposed a decomposition algorithm for finding the shortest paths between all pairs of nodes in a sparse network in which subnetworks are linearly overlapped. The purpose of this ...