Combinatorial optimization problems are problems that arise in everyday situations, involving the puzzle of determining the shortest route that can be taken between multiple points. Researchers have ...

Google Maps is a popular navigation app worldwide. But even so, there are a few valuable features missing from it. For instance, Google doesn’t offer the ability to find a halfway point between two ...

Intuitively, the shortest distance between two points is on the straight line joining the two points. But this is true only if one is travelling on a plane surface. In fact, it depends on the shape of ...

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 ...

Parallel lines are a fixed distance apart and will never meet, no matter how long they are extended. Lines that are parallel have the same gradient. The graphs above, \(y = 2x + 1\) and \(y = 2x - 2\) ...