3 problems

Annulus conjecture. The subtree roots of $T$ are contained in this annulus.

Disk conjecture. The subtree roots of $T$ lie in $D_n$.

Let $n$ be a positive integer, and let the subtree polynomial of a graph $G$ be … where $a_k$ counts the subtrees with $k$ edges. Subtree-polynomial multiplicity conjecture. For an…