9 citations · 13 across the 9 of their papers we have counts for
8 papers · 1 filter
Identities in character tables of
Alon Regev, Amitai Regev, Doron Zeilberger
In the classic "Concrete Math", by Graham, Patashnik and Knuth, it is stated that "The numbers in Pascal's triangle satisfy, practically speaking, infinitely many identities, so it…
A bijection between triangulations and -avoiding permutations
Alon Regev
We define a bijection between triangulations of a convex polygon and -avoiding permutations through the process of "ear-clipping". This bijection is then used to obtain a bije…
Triangulations with few ears: symmetry classes and disjointness
Andrei Asinowski, Alon Regev
An ear in a triangulation of a convex -gon is a triangle of that shares two sides with itself. Certain enumerational and structural problems become easier when o…
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…
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…
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,…