5 citations · 9 across the 2 of their papers we have counts for
3 papers · 1 filter
Quasi-period collapse and GL_n(Z)-scissors congruence in rational polytopes
Christian Haase, Tyrrell B. McAllister
Quasi-period collapse occurs when the Ehrhart quasi-polynomial of a rational polytope has a quasi-period less than the denominator of that polytope. This phenomenon is poorly under…
Enumerating Segmented Patterns in Compositions and Encoding by Restricted Permutations
Sergey Kitaev, Tyrrell B. McAllister, T. Kyle Petersen
A composition of a nonnegative integer (n) is a sequence of positive integers whose sum is (n). A composition is palindromic if it is unchanged when its terms are read in reverse o…
Vertices of Gelfand-Tsetlin Polytopes
Jesús A. De Loera, Tyrrell B. McAllister
This paper is a study of the polyhedral geometry of Gelfand-Tsetlin patterns arising in the representation theory $\mathfrak{gl}_n \C$ and algebraic combinatorics. We present a com…