Random article ( of 1042 ) Latest updates

User Tools

Site Tools


content:mathematics:sunflower_sets

Wikenigma - an Encyclopedia of Unknowns Wikenigma - an Encyclopedia of the Unknown

Sunflower sets

In mathematical Set Theory, a collection of distinct sets is called a Sunflower (a.k.a. a Δ-system) if the intersection of any pair of sets equals the common intersection of all the sets.

In the 1960s, mathematicians Erdős and Rado (and others) investigated the minimum number of sets of size r needed to guarantee the existence of a sunflower of a given size. - but could not formulate an answer.

The problem remains open, despite the fact that Sunflowers are fundamental objects in external set theory, and have relations and applications to many other areas of mathematics and theoretical computer science.

A 2021 paper published in arXiv, noted :

Despite a lot of recent attention including a polymath project and some amazing breakthroughs, even the asymptotic answer remains unknown."

Source : arXiv:2110.11319 (math)

Show another (random) article

Suggestions for corrections and ideas for articles are welcomed : Get in touch!


Further resources :

Do NOT follow this link or you will be banned from the site!

DOKUWIKI IMPLEMENTATION DESIGN BY UNIV.ORG.UK MARCH 2024