Graph theory examines mathematical structures in which objects are represented as vertices connected by edges. It provides the language and tools to model networks in computer science, biology, social ...

Researchers thought that they were five years away from solving a math riddle from the 1980's. In reality, and without knowing, they had nearly cracked the problem and had just given away much of the ...

Graph saturation problems concern the minimal conditions under which adding any new edge to a given graph or hypergraph forces the appearance of a specified forbidden structure. In its simplest form, ...

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 ...

Kevin Lieber of Vsauce2 examines how basic matchstick puzzles help solve complex graph theory problems. Erika Kirk issues statement after judge’s ruling on Tyler Robinson Hegseth imposes his will on ...

A long-standing mathematical conundrum has been solved by ChatGPT in a few hours, with only a few simple prompts. The Dinitz-Garg-Goemans conjecture is a 30-year-old question in graph theory, but a ...

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 ...