Graph connectivity and fault tolerance form the theoretical backbone of resilient network design. Connectivity measures the minimal number of elements—nodes or links—whose removal disrupts ...

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 ...

Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a public transportation network. Mathematicians have long sought to develop ...