Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

Graph Domination Theory is a fundamental area in combinatorial optimisation and theoretical computer science that examines dominating sets and their diverse extensions. At its core, a dominating set ...

For those who hear the phrase “graph theory” and think of the basic pie charts and bar graphs introduced in elementary school, there’s a new world to be explored. “In graph theory, the most simple way ...

Jacob Holm was flipping through proofs from an October 2019 research paper he and colleague Eva Rotenberg—an associate professor in the department of applied mathematics and computer science at the ...

Researchers have proved a special case of the Erdős-Hajnal conjecture, which shows what happens in graphs that exclude anything resembling a pentagon. When you walk into a room full of people, you can ...

Now that pandemic restrictions are easing up, people are getting together again. But it’s been a while, so if you and your friends need some help breaking the ice, here’s a mathematical party game you ...