### Peter Borg (Malta): Isolation of graphs

Borg Peter#### Extremal Set Systems Seminar

on 5/7/20

Let

the Boolean lattice of dimension

no chain with

the family produces such a chain. It is well known that for

sufficiently large,

denote

For

due to Gerbner, Keszegh, Lemons, Palmer, P\'alv\"olgyi, and Patk\'os

and to Morrison, Noel and Scott (based on a construction by Gerbner,

et al.), respectively.

We improve both bounds to

The upper bound works for

This is joint work with Nick Veldt, Iowa State University.