  Given two smooth, oriented, closed 4-manifolds $M_1$ and $M_2$, we construct
two invariants, $D^P(M_1, M_2)$ and $D(M_1, M_2)$, coming from distances in the
pants complex and the dual curve complex respectively. To do this, we adapt
work of Johnson on Heegaard splittings of 3-manifolds to the trisections of
4-manifolds introduced by Gay and Kirby. Our main results are that the
invariants are independent of the choices made throughout the process, as well
as interpretations of "nearby" manifolds. This naturally leads to various
graphs of 4-manifolds coming from unbalanced trisections, and we briefly
explore their properties.
