  We consider a lattice polytope in the $xy$-plane such that each edge is
parallel to the $x$-axis or the $y$-axis. In [4], we investigated
transformations of certain lattice polytopes, and we considered the reduced
graph that is obtained from deformations of a graph associated with a lattice
polytope. In this paper, we refine the notion of the reduced graph by
introducing the notion of a dotted graph. A lattice polytope is presented by an
admissible dotted graph. We investigate deformations of dotted graphs, and we
investigate relation between deformations of admissible dotted graphs and
transformations of lattice polytopes, giving results that are refined and
corrected versions of [4, Lemma 6.2, Theorem 6.3].
