Department colloquium
Sep 2, 2026 4:00 pm
157 Noyes Lab; refreshment in 300 Harker at 3pm
- Sponsor
- Joszef Balogh
- Speaker
- Michelle Delcourt (Toronto Metropolitan University)
- Contact
- Timur Oikhberg
- oikhberg@illinois.edu
- Views
- 5
Title: A Proof of Nash-Williams' Conjecture
Abstract: In 1970, Nash-Williams conjectured that every triangle-divisible graph on n vertices with minimum degree at least 3n/4 has a triangle-decomposition provided n is large enough. In this talk, we overview our recent proof of this conjecture, highlighting the new techniques we developed to resolve the fractional version as well as its full resolution. Joint work with Luke Postle.