University of California (UC) San Diego mathematicians Jacques Verstraete and Sam Mattheus have solved a puzzling Ramsey theory problem that's had little progress since the great Paul Erdös made some ...

Ramsey problems, such as r(4,5) are simple to state, but as shown in this graph, the possible solutions are nearly endless, making them very difficult to solve. We’ve all been there: staring at a math ...

Paul Erdős, known as the most prolific mathematician of the 20th century, proposed many unsolved problems throughout his life, known as 'Erdős problems.' GPT-5.2 Pro solved one of these problems, and ...