Ramsey theory explores the inevitability of order within sufficiently large or complex structures, asserting that any edge-colouring of a complete graph must contain a monochromatic subgraph of ...

Algebraic structures such as groups, rings and modules provide a rigorous framework for organising and manipulating mathematical objects. Graph theory, concerned with vertices connected by edges, has ...

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 ...

A new computer program fashioned after artificial intelligence systems like AlphaGo has solved several open problems in combinatorics and graph theory. “I was very happy to have the question answered.