1 citations · 3 across the 5 of their papers we have counts for
5 papers
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,…
Filtered Algebraic Algebras
Alon Regev
Small and Zelmanov posed the question whether every element of a graded algebra over an uncountable field must be nilpotent, provided that the homogeneous elements are nilpotent. T…
The Golod Shafarevich counter-example without Hilbert series
Alon Regev, Amitai Regev
Let be an arbitrary field. The Golod-Shafarevich example of a finitely generated nil -algebra which is infinite dimensional -- is revisited. Here we offer a rather elementar…