Universality for graphs of bounded degeneracy

Series
Combinatorics Seminar
Time
Friday, March 28, 2025 - 3:15pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Anita Liebenau – UNSW Sydney – A.Liebenau@unsw.edu.auhttps://sites.google.com/site/aliebenau/home
Organizer
Tom Kelly

What is the smallest number of edges that a graph can have if it contains all DD-degenerate graphs on nn vertices as subgraphs? A counting argument shows that this number is at least of order n21/Dn21/D, assuming n is large enough. We show that this is tight up to a polylogarithmic factor.

Joint work with Peter Allen and Julia Böttcher.