Combinatorics and discrete mathematics form a vibrant and expansive branch of modern mathematics, dedicated to the study of finite or countable structures and the methods used to count, classify, and ...

Rushil Mathur, a three-time Indian National Mathematical Olympiad awardee, authored "An Exploration of Olympiad Combinatorics" and will represent India at the International Mathematical Olympiad (IMO) ...

After previously discussing permutations, Dr. James McCaffrey of Microsoft Research uses step-by-step examples and full code presentations to explore combinations. A zero-based mathematical (n, k) ...

Eric Swartz: application of group theory to finite structures, such as graphs and finite geometries, and problems related to the combinatorics of finite groups.

Princeton mathematician Noga Alon has received the 2024 Wolf Prize in Mathematics “for pioneering contributions to mathematical cryptography, combinatorics, and the theory of computer science.” He ...

Mathematical truths are often born of the conflict between order and disorder. Mathematicians discover patterns, and, to better understand the mysterious forces at play, they look for countervailing ...

Alan Veliz-Cuba has received funding from the Simons Foundation and the American Mathematical Society for some of his research. You can probably think of a time when you’ve used math to solve an ...