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) ...

A team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.” Within a month, a loose collaboration verified it ...

So the new Kroeger Monopoly game gives me a 3x3 matrix, My job is to choose 3 squares that match. I figure my odds are 9x8x7, or roughly 1 in 500. Am I better off choosing the same 3 squares each time ...

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 ...

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

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) ...

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 ...