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 ...

Sure, you can cut a pie into pieces, but what if it’s in four dimensions? Using spectral graph theory, mathematicians have solved a decades-old problem. Graph theory uses nodes and edges (dots and ...

Or four? While the tools for exploring these interactions are not new, it’s only in recent years that high-dimensional data sets have become an engine for discovery, giving mathematicians and network ...