University of Birmingham > Talks@bham > Combinatorics and Probability Seminar > Distinct degrees and homogeneous sets

## Distinct degrees and homogeneous setsAdd to your list(s) Download to your calendar using vCal - Laurentiu Ploscaru, University of Birmingham
- Thursday 17 March 2022, 15:00-16:00
- Poynting Large Lecture Theatre, additional zoom link: https://bham-ac-uk.zoom.us/j/88168768618.
If you have a question about this talk, please contact Eoin Long. In this talk I will discuss some recent work examining the extremal relationship between two well-studied graph parameters: the order of the largest homogeneous set in a graph G and the maximal number of distinct degrees appearing in an induced subgraph of G, denoted respectively by hom (G) and f(G). Our main theorem improves estimates due to Bukh and Sudakov and to Narayanan and Tomon and shows that if G is an n-vertex graph with hom (G) at least n The relationship between these parameters changes when hom (G) < n This talk is part of the Combinatorics and Probability Seminar series. ## This talk is included in these lists:- Combinatorics and Probability Seminar
- Poynting Large Lecture Theatre, additional zoom link: https://bham-ac-uk.zoom.us/j/88168768618
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