A column-convex self-avoiding polygon which contains the bottom edge of its minimal bounding rectangle. The anisotropic perimeter and area generating function
(1)
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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)
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satisfy the self-reciprocity and inversion relations
(3)
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and
(4)
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(Bousquet-Mélou et al. 1999).