Triangle-free triple systems | Department of Mathematics

Seminar

Speaker

Ron Holzman (Technion)

Date

02/06/2024 - 15:30 - 14:00Add to Calendar 2024-06-02 14:00:00 2024-06-02 15:30:00 Triangle-free triple systems Link to the recording There are four non-isomorphic configurations of triples that can form a triangle in a 3-uniform hypergraph. Forbidding different combinations of these four configurations, fifteen extremal problems can be defined, several of which already appeared in the literature in some different context. Here we systematically study all of these problems solving the new cases exactly or asymptotically. In many cases we also characterize the extremal constructions. Joint work with Peter Frankl, Zoltan Furedi, Ido Goorevitch and Gabor Simonyi. ZOOM אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public

Place

ZOOM

Abstract

Link to the recording

There are four non-isomorphic configurations of triples that can form a triangle in a 3-uniform hypergraph. Forbidding different combinations of these four configurations,

fifteen extremal problems can be defined, several of which already appeared in the literature in some different context.

Here we systematically study all of these problems solving the new cases exactly or asymptotically.

In many cases we also characterize the extremal constructions. Joint work with Peter Frankl, Zoltan Furedi, Ido Goorevitch and Gabor Simonyi.