Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

Before reading this guide, you may find it helpful to read the guide on graphs from Module 7 (M7) and the guide on indices from Module 8 (M8). In Module 7 (M7) Graphs, you learned that simultaneous ...

The authors do not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and have disclosed no relevant affiliations beyond their ...

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 ...

Apple improved the Math Notes feature in iOS 26 and iPadOS 26, allowing users to input equations to create graphs in three dimensions. With ‌iOS 26‌ and ‌iPadOS 26‌, when you write an equation with ...

Terri Oda is a mathematician who now works in computer science. She is also female. Weird, right? When people told her women were biologically unsuited to math, she used to draw a graph for them on ...