Back in the hazy olden days of the pre-2000s, navigating between two locations generally required someone to whip out a paper map and painstakingly figure out the most optimal route between those ...

Discrete mathematics is the study of finite or countable discrete structures; it spans such topics as graph theory, coding theory, design theory, and enumeration. The faculty at Michigan Tech ...

Discrete mathematics gets easier when you know how to approach proofs. Direct reasoning, induction, and contradiction each have specific steps that can be learned and practiced. Pairing these methods ...

At 21, Ashwin Sah has produced a body of work that senior mathematicians say is nearly unprecedented for a college student. The proof joined a long list of mathematical results that Sah, who turned 21 ...

Computer scientists are abuzz over a fast new algorithm for solving one of the central problems in the field. (January 15, 2017, update: On January 4, Babai retracted his claim that the new algorithm ...

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 ...

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 ...