RyanCoordinator, Dreamscaper · @ryancoordinator
297 followers · 1868 posts · Server fosstodon.orgAbout to spend an afternoon on the Union Closed Sets Conjecture.
Anyone else?
#math #RecreationalMathematics #unionclosed #unionclosedconjecture
#math #RecreationalMathematics #unionclosed #unionclosedconjecture
Mark Reid · @mdreid
548 followers · 104 posts · Server mastodon.socialSome progress on the #FranklConjecture!
Justin Gilmer used some information theoretic arguments to establish the first constant lower bound for the fraction of sets in a #UnionClosed family that contain the same element. Initially 1%, now 38% but it looks like some new ideas are required to get to the 50% of the conjecture.
Quanta article: https://www.quantamagazine.org/long-out-of-math-an-ai-programmer-cracks-a-pure-math-problem-20230103/
Gilmer’s paper: https://arxiv.org/abs/2211.09055
#franklconjecture #unionclosed
RyanCoordinator · @ryancoordinator
130 followers · 1015 posts · Server fosstodon.orgYo #mathstodon !
Anyone here working on the
Union-closed sets conjecture
???
#unionclosed #unionclosedconjecture #conjecture #math #sets #settheory #graphtheory
#mathstodon #unionclosed #unionclosedconjecture #conjecture #math #sets #settheory #graphtheory