Departmental Colloquium

Lior Gishboliner
University of Toronto
Regularity and VC-dimension for hypergraphs: improved bounds
Abstract: Regularity and VC-dimension are two fundamental notions with many applications in combinatorics and beyond. These notions are related via the result that graphs of bounded VC-dimension have (small) partitions where most pairs of parts have density close to 0 or 1. Recent work has generalized this to hypergraphs, but the quantitative aspects of these results are still far from fully understood. I will present some new results on this problem. Joint work with Asaf Shapira and Yuval Wigderson.
Friday December 5, 2025 at 3:00 PM in 636 SEO
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