I'm wrapping up a discrete math course for my university. The last chapter gave us an introduction to graph theory, and I want to learn more. The chapter in question introduced some basic concepts: ...

The Erdős–Pósa property forms a pivotal concept in modern graph theory by establishing a profound duality between the problems of packing and covering cycles or other substructures. At its core, this ...

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks — vertices (dots) and edges (lines connecting them) — has been an invaluable way ...