Abstract: The uncertainty of travel times on a time-dependent network is conventionally considered as randomness or fuzziness. However, sometimes, randomness or fuzziness cannot describe the ...

Abstract: The selection of shortest path problem is one the classic problems in graph theory. In literature, many algorithms have been developed to provide a solution for shortest path problem in a ...

Physicists have long struggled to unite quantum mechanics—the theory governing tiny particles—with Einstein’s theory of gravity, which explains the behavior of stars, planets, and the structure of the ...

Rubik's cubes are great for fun, fast-paced problem solving, but they also have a rich mathematical structure involving ideas of symmetry and connectivity. A 3x3x3 Rubik’s cube has 43 quintillion ...

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 ...

Chinese computer scientists have solved a 40-year-old mathematics bottleneck, an advance that might help boost performance in hi-tech areas ranging from chip design and telecommunications to drone ...

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.

It’s not often that 5-year-olds can grasp questions at the frontiers of computer science, but it can happen. Suppose, for instance, that a kindergartner named Alice has two apples, but she prefers ...

Evolution has led to natural algorithms that regulate collective behavior in many biological systems. Here, we investigate natural algorithms that solve the shortest path problem, a basic optimization ...

... A bit like networkx, just without the overhead... ... similar to graph-tool, without the Python 2.7 legacy... from graph import Graph, Graph3D Elementary methods ...

Path planning plays a crucial role in many applications in robotics for example for planning an arm movement or for navigation. Most of the existing approaches to solve this problem are iterative, ...