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 ...

Graph theory examines mathematical structures in which objects are represented as vertices connected by edges. It provides the language and tools to model networks in computer science, biology, social ...

In 1950 Edward Nelson, then a student at the University of Chicago, asked the kind of deceptively simple question that can give mathematicians fits for decades. Imagine, he said, a graph — a ...

Graph decomposition encompasses a suite of methods by which the edges of a graph are partitioned into subgraphs that satisfy prescribed properties or isomorphism classes. Central to this field are ...

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 ...