Department of

# Mathematics

Seminar Calendar
for events the day of Tuesday, August 4, 2020.

.
events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
      July 2020             August 2020           September 2020
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3  4                      1          1  2  3  4  5
5  6  7  8  9 10 11    2  3  4  5  6  7  8    6  7  8  9 10 11 12
12 13 14 15 16 17 18    9 10 11 12 13 14 15   13 14 15 16 17 18 19
19 20 21 22 23 24 25   16 17 18 19 20 21 22   20 21 22 23 24 25 26
26 27 28 29 30 31      23 24 25 26 27 28 29   27 28 29 30
30 31


Tuesday, August 4, 2020

2:00 pm in Zoom,Tuesday, August 4, 2020

#### The size-Ramsey number of powers of bounded degree trees

###### Taisa Martins (Universidade Federal Fluminense)

Abstract: Given a positive integer $s$, the $s$-colour size-Ramsey number of a graph $H$ is the smallest integer $m$ such that there exists a graph $G$ with $m$ edges where in any $s$-colouring of $E(G)$ there is a monochromatic copy of $H$. We prove that, for any positive integers $k$ and $s$, the $s$-colour size-Ramsey number of the $k$th power of any $n$-vertex tree is linear on $n$.

This is a joint work with S. Berger, Y. Kohayakawa, G. S. Maesaka, W. Mendonca, G. O. Mota and O. Parczyk.

Please email Sean English at SEnglish (at) illinois (dot) edu for the Zoom ID.