Exceptional times of the critical Erdős-Rényi graph

With Matt Roberts (Bath)

Exceptional times of the critical Erdős-Rényi graph

It is well known that the largest components in the critical Erdős-Rényi graph have size of order n. We introduce a dynamic Erdős-Rényi graph by rerandomising each edge at rate 1, and ask whether there exist times in [0,1] at which the largest component is significantly larger than n{2/3}.

Add to your calendar or Include in your list