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, ...

An algebraic distance graph is defined to be a graph with vertices in E n in which two vertices are adjacent if and only if the distance between them is an algebraic number. It is proved that an ...

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 ...

One of my favorite demos at Disrupt NYC was from an education startup called Desmos that is reinventing the whiteboard to make it browser-based and interactive (watch their Disrupt video below). One ...

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 ...

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 ...