  Dotted graphs are certain finite graphs with vertices of degree 2 called dots
in the $xy$-plane $\mathbb{R}^2$, and a dotted graph is said to be admissible
if it is associated with a lattice polytope in $\mathbb{R}^2$ each of whose
edge is parallel to the $x$-axis or the $y$-axis. A dotted graph is said to be
reducible if certain types of deformations are applicable. In this paper, we
investigate the reducibility of admissible dotted graphs in certain simple
forms consisting of standard circles.
