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 ...

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 ...

Trigonometric graphs can be sketched when you know the amplitude, period, phase and maximum and minimum turning points. Learn about graphs of trigonometric functions in this National 5 Maths guide.

Mathematics has always been one of the most challenging subjects for students of all ages. From simple arithmetic to complex ...

David Conlon and Asaf Ferber have raised the lower bound for multicolor “Ramsey numbers,” which quantify how big graphs can get before patterns inevitably emerge. “There is no absolute randomness in ...

Little progress had been made in solving Ramsey problems since the 1930s. Now, researchers have found the answer to r(4,t), a longstanding Ramsey problem that has perplexed the math world for decades.