10 citations · 35 across the 18 of their papers we have counts for
21 papers
Periods of Ehrhart coefficients of rational polytopes
Tyrrell B. McAllister, Hélène O. Rochais
Let be a polytope whose vertices have rational coordinates. By a seminal result of E. Ehrhart, the number of integer lattice points in the $k…
Comparability in Bruhat orders
Jonathan Boretsky, Alvaro Cornejo, Reuven Hodges +3
We determine the sharp asymptotic scale of the probability that two uniformly random permutations are comparable in weak Bruhat order, showing that $\mathbb{P}(σ_1 \preceq_W σ_2)=\…
Boundaries of pseudointegral polygons
Tyrrell B. McAllister, Jason S. Williford
We prove that a rational pseudointegral triangle with exactly one lattice point in its interior has at most lattice points on its boundary, where a polygon is called pseudo…
Combinatorics of generalized parking-function polytopes
Margaret M. Bayer, Steffen Borgwardt, Teressa Chambers +8
For , a -parking function is defined to be a sequence of positive integers whose nondecreasing rearra…
Quasiperiods of Magic Labeling Quasipolynomials
Margaret Bayer, Amanda Burcroff, Tyrrell B. McAllister +1
A magic labeling of a graph is a labeling of the edges by nonnegative integers such that the label sum over the edges incident to every vertex is the same. This common label sum is…
Triangle Percolation on the Grid
Igor Araujo, Bryce Frederickson, Robert A. Krueger +5
We consider a geometric percolation process partially motivated by recent work of Hejda and Kala. Specifically, we start with an initial set , and then it…