Friday, March 25, 2022

Friday, March 25, 2022 — 3:30 PM EDT

Title: The chromatic number of triangle-free hypergraphs

Speaker: Lina Li Affiliation: University of Waterloo Location: MC 5501 or please contact Emma Watson for Zoom link

Abstract:

A classical result of Johansson showed that for any triangle-free graph $G$ with maximum degree $\Delta$, it chromatic number is $O(\Delta/\log\Delta)$. This result was later generalized to all rank 3 hypergraphs due to the work of Copper and Mubayi. In this talk, I will present a common generalization of the above results to all hypergraphs, and this is sharp apart from the constant.

S M T W T F S
27
28
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
1
2
  1. 2022 (146)
    1. December (4)
    2. November (18)
    3. October (15)
    4. September (11)
    5. August (2)
    6. July (17)
    7. June (17)
    8. May (10)
    9. April (12)
    10. March (18)
    11. February (10)
    12. January (13)
  2. 2021 (103)
    1. December (3)
    2. November (7)
    3. October (6)
    4. September (12)
    5. August (6)
    6. July (10)
    7. June (12)
    8. May (7)
    9. April (9)
    10. March (13)
    11. February (8)
    12. January (10)
  3. 2020 (119)
  4. 2019 (167)
  5. 2018 (136)
  6. 2017 (103)
  7. 2016 (137)
  8. 2015 (136)
  9. 2014 (88)
  10. 2013 (48)
  11. 2012 (39)
  12. 2011 (36)
  13. 2010 (40)
  14. 2009 (40)
  15. 2008 (39)
  16. 2007 (15)