Abstract: Let $\mathcal{P}$ be the surface of a convex polyhedron of n vertices. We consider the two-point shortest path query problem for $\mathcal{P}$: Constructing ...

"I want to try Python, but I don't know where to start." Honestly, I think this is the first hurdle. When I started learning Python myself, there was so much information that I actually got confused.

Illustration: Dan Goldfarb / The Athletic; photos: Jared C. Tilton / Getty Images Brian Campbell isn’t offended by the question, but he knows it’s coming: What’s it like to compete as the shortest ...

Fuzzy optimization for shortest path problems addresses uncertainty in network weights by representing arc costs with fuzzy numbers rather than crisp values. By extending classical algorithms—such as ...

Everyone knows that the path of least resistance is the path that will always be taken, be it by water, electricity or the feet of humans. This is where the PCB presented by [ElectrArc240] on YouTube ...

Are you thinking, "I want to start programming, but the setup seems difficult..."? Actually, setting up Python only takes two steps. I will explain how to do it for both Windows 11 and Mac in an ...

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 ...

Python simulation of the London Underground network that finds the fastest route between stations using weighted graph algorithms. Includes dynamic connections and optimization for travel time and ...

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 ...

—you’re not alone. This issue occurs when Windows can’t locate Python’s executable in your system’s PATH. Luckily, there are several simple ways to fix it, so you can run Python and pip from any ...

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.