An innovative approach to solving a stubborn, but elementary, question in graph theory — the mathematical study of networks of nodes and their connections — may signal the first major theoretical ...

A recent advance in geometry makes heavy use of Ramsey’s theorem, an important idea in another field — graph theory. Ramsey’s theorem states that in any graph where all points are connected by either ...

The zeta function of a graph, inspired by analogues in number theory and differential geometry, encodes fundamental cycle and path data in a compact analytic form. Its prototypical instance, the Ihara ...