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 ...

Some math conjectures and theorems and proofs can take on a profound, quasi-religious status as examples of the limits of human comprehension. TREE(3) is one of those examples. "You've got all these ...