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 ...

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 ...

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.

2018 Colloquia in Combinatorics Two consecutive one-day events hosted by QMUL and LSE 2018 sees the twelfth year of the Colloquia in Combinatorics: each year, we present a dozen talks covering a wide ...

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 ...

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 ...

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 ...

Peter Cameron, Wilfrid Hodges, Some Combinatorics of Imperfect Information, The Journal of Symbolic Logic, Vol. 66, No. 2 (Jun., 2001), pp. 673-684 ...

The Bristol One-Day Meeting in Combinatorics is an annual conference in Bristol with talks on a wide variety of topics within Combinatorics. Talks will cover recent developments in extremal and ...

The beginnings of combinatorics in India date back to Bharata's Natyasastra and the last chapter of the work Chandahsastra (Sanskrit Prosody) by Pingala (c. 300 BCE).