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: ...

This is a preview. Log in through your library . Abstract It is shown that a phase transition for the Ising model on a tree graph can be detected by the limiting behavior of the magnetization. The ...

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 ...