Anyone with a mathematical inclination knows that numbers are beautiful and that pictures of numbers … that is to say, graphs … are even more beautiful. Whether the graph is of a fractal or an ...

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 ...

It’s an art competition unlike most others. Contestants must use a graphing calculator and “draw” every line, curve, shade and highlight with an equation. One entry looks like an animation straight ...

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks — vertices (dots) and edges (lines connecting them) — has been an invaluable way ...