Combinatorics is the art of counting. Its main goal is to, given a set, determine how many elements it contains. Relevant areas of research at Michigan Tech are enumerative and algebraic combinatorics ...

2019 Colloquia in Combinatorics Two consecutive one-day events hosted by QMUL and LSE 2019 sees the thirteenth year of the Colloquia in Combinatorics: each year, we present a dozen talks covering a ...

Several months later, the team coaxed the upper limit down a tiny bit more, getting a new bound of 1/e (log (N))^1/9. Combinatorics researchers are still trying to figure out how low they can go.

The mathematician Ben Green of the University of Oxford has made a major stride toward understanding a nearly 100-year-old combinatorics problem, showing that a well-known recent conjecture is “not ...

Given a group and a normal subgroup, we study the problem of choosing coset representatives with few “carries.” The problem is closely linked to the emerging field of additive combinatorics. We ...

Correction 19 December 2023 DeepMind AI outdoes human mathematicians on unsolved problem Large language model improves on efforts to solve combinatorics problems inspired by the card game Set.

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 ...

2024 sees the seventeenth year of the Colloquia in Combinatorics: each year, we present a dozen talks covering a wide range of topics of interest to all those working in combinatorics or related ...

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 ...