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math.CO2012
The central component of a triangulation
Alon Regev
The central component of a polygon triangulation is defined as the triangle or diameter that contain its geometric center. More generally, every polygon dissection contains a centr…
math.CO2012★ 1 cited
Counting symmetry classes of dissections of a convex regular polygon
Douglas Bowman, Alon Regev
This paper proves explicit formulas for the number of dissections of a convex regular polygon modulo the action of the cyclic and dihedral groups. The formulas are obtained by maki…
math.CO2012★ 1 cited
Enumerating triangulations by parallel diagonals
Alon Regev
The triangulations of a regular convex polygon are enumerated according to the number of diagonals parallel to a fixed edge. The enumeration uses the Shapiro convolution identity,…