  Let $G = (V, E)$ be a graph and $\sigma(G)$ the number of independent
(vertex) sets in $G$. Then the Merrifield-Simmons conjecture states that the
sign of the term $\sigma(G_{-u}) \cdot \sigma(G_{-v}) - \sigma(G) \cdot
\sigma(G_{-u-v})$ only depends on the parity of the distance of the vertices
$u, v \in V$ in $G$. We prove that the conjecture holds for bipartite graphs by
considering a generalization of the term, where vertex subsets instead of
vertices are deleted.
