A column-convex self-avoiding polygon which contains the bottom edge of its minimal bounding rectangle. The anisotropic perimeter and area generating function
(1)
|
where
is the number of polygons with
horizonal bonds,
vertical bonds, and area
, has been computed exactly for the bar graph polygons (Bousquet-Mélou
1996, Bousquet-Mélou et al. 1999). The anisotropic area and perimeter
generating function
and partial generating functions
, connected by
(2)
|
satisfy the self-reciprocity and inversion relations
(3)
|
and
(4)
|
(Bousquet-Mélou et al. 1999).