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 to ...

Graph theory is moving from textbooks to traffic lights, powering smarter transportation networks worldwide. From retail deliveries to freight corridors and urban commuting, it helps planners cut ...

Recent advances in the study of automorphism groups within graph theory have yielded significant theoretical and applied insights. At its core, the interplay between the algebraic structure of groups ...

Kinematic chains, comprising interconnected rigid links and joints, form the backbone of mechanism design. Recent advances in synthesis methods have increasingly relied on graph theory to provide ...

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 ...

Researchers thought that they were five years away from solving a math riddle from the 1980's. In reality, and without knowing, they had nearly cracked the problem and had just given away much of the ...

Two computer scientists found — in the unlikeliest of places — just the idea they needed to make a big leap in graph theory. This past October, as Jacob Holm and Eva Rotenberg were thumbing through a ...