The fifth International Combinatorics Olympiad (ICO 2025) took place in Tehran on October 30 and 31, bringing together approximately 5,000 competitors from over 70 countries both in person and online.

Algebra is the discipline of pure mathematics that is concerned with the study of the abstract properties of a set, once this is endowed with one or more operations that respect certain rules (axioms) ...

The massive capacity of today's sequencing machines can be harnessed efficiently by sequencing pooled samples and decoding the results. The new sequencing technologies will have many applications 3, ...

A partition of a positive integer n is a non-increasing sequence of positive integers whose sum is n, the partitions of 3 ...

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 ...

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 ...

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). Pingala deals in a few cryptic ...

Annals of Mathematics, Second Series, Vol. 164, No. 2 (Sep., 2006), pp. 603-648 (46 pages) We find a sharp combinatorial bound for the metric entropy of sets in ${\Bbb R}^{n}$ and general classes of ...

Consider this sequence of numbers: 5, 7, 9. Can you spot the pattern? Here’s another with the same pattern: 15, 19, 23. One more: 232, 235, 238. “Three equally spaced things,” says Raghu Meka, a ...

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 ...