### Dimitrios M. Thilikos, Bounding Obstructions sets: the cases of apices of minor closed classes

Zoom ID: 934 3222 0374 (ibsdimag)Given a minor-closed graph class ${\cal G}$, the (minor) obstruction of ${\cal G}$ is the set of all minor-minimal graphs not in ${\cal G}$. Given a non-negative integer $k$, we define the $k$-apex of ${\cal A}$ as the class containing every graph $G$ with a set $S$ of vertices whose removal from $G$ gives a graph …