[@FS]. They then used this structure to prove a variety of theorems about the homology and fundamental groups of these unordered configuration spaces.\
We will use the structure granted to us by Theorem \[sinkdmt\] to prove the following.\

\[dmtmainthm\] Let $G$ be a tree with vertex set $V$ and edge set $E$. Then for all $n,i \geq 0$

1.  $H_i(\operatorname{Conf}_n^{\operatorname{sink}}(G,V))$ is torsion free;

2.  the homological dimension of $\operatorname{Conf}_n^{\operatorname{sink}}(G,V)$ is given by $$\operatorname{hdim}(\operatorname{Conf}_n^{\operatorname{sink}}(G,V)) = \min\{\lfloor \frac{n}{2} \rfloor, |E|\}$$

3.  the groups $H_i(\operatorname{Conf}_n^{\operatorname{sink}}(G,V))$ depend only on $i,n,$ and $|E|$.\

There are a few remarks we must make about the above theorem. Firstly, it has been shown by Chettih and Lütgehetmann [@CL] that the homology groups of $\operatorname{Conf}_n(G)$ are always torsion-free, with no assumptions on $G$. While it is very possible that this is the case in the context of sink configuration spaces, we do not go beyond the case of trees in this paper. Secondly, the third part of Theorem \[dmtmainthm\] is similar to Theorem \[treepi1\] in that it asserts that certain topological invariants of $\operatorname{Conf}_n^{\operatorname{sink}}(G,V)$ depend only on simple combinatorial invariants of $G$ and its vertex set. We therefore stress that this simplicity seems entirely unique to trees and more 