12 citations · 20 across the 9 of their papers we have counts for
13 papers
A cubulation of the associahedron using a torus-equivariant degeneration of the brick variety
Raj Gandhi, Gabe Udell
We describe a mixed subdivision of the -dimensional Loday associahedron into maximal cells which are combinatorial cubes, and we show that the face poset of this su…
The group generated by a graph's derangements
Mark Schachner, Gabe Udell
We introduce the leap group of a graph, the subgroup of the symmetric group on the vertex set generated by graph derangements. We summarize historical results on graph derangements…
Inversions in parking functions
Kyle Celano, Jennifer Elder, Kimberly P. Hadaway +3
In this paper, we obtain a q-exponential generating function for inversions on parking functions via symmetric function theory and also through a direct bijection to rooted labeled…
Statistics on -interval parking functions
Kyle Celano, Jennifer Elder, Kimberly P. Hadaway +4
The displacement of a car with respect to a parking function is the number of spots it must drive past its preferred spot in order to park. An -interval parking function is o…
Factorization length distribution for affine semigroups V: explicit asymptotic behavior of weighted factorization lengths on numerical semigroups
Stephan Ramon Garcia, Gabe Udell
We describe the asymptotic behavior of weighted factorization lengths on numerical semigroups. Our approach is geometric as opposed to analytic, explains the presence of Curry-Scho…
Characterizing finite groups whose enhanced power graphs have universal vertices
David G. Costanzo, Mark L. Lewis, Stefano Schmidt +2
Let be a finite group and construct a graph by taking as the vertex set of and by drawing an edge between two vertices and if $\langle x…
CR embeddability of quotients of the Rossi sphere via spectral theory
Henry Bosch, Tyler Gonzales, Kamryn Spinelli +2
We look at the action of finite subgroups of on , viewed as a CR manifold, both with the standard CR structure as the unit sphere in and…
Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups
Stephan Ramon Garcia, Christopher O'Neill, Gabe Udell
For numerical semigroups with three generators, we study the asymptotic behavior of weighted factorization lengths, that is, linear functionals of the coefficients in the factoriza…
A Tauberian Approach to Weyl's Law for the Kohn Laplacian on Spheres
Henry Bosch, Tyler Gonzales, Kamryn Spinelli +2
We compute the leading coefficient in the asymptotic expansion of the eigenvalue counting function for the Kohn Laplacian on the spheres. We express the coefficient as an infinite…
The Cyclic Graph of a Z-group
David G. Costanzo, Mark L. Lewis, Stefano Schmidt +2
For a group , we define a graph by letting be the set of vertices and by drawing an edge between distinct elements if and o…
The cyclic graph (deleted enhanced power graph) of a direct product
David G. Costanzo, Mark L. Lewis, Stefano Schmidt +2
Let be a finite group. Define a graph on the set by declaring distinct elements to be adjacent if and only if $\langle x,y\rangle…
Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples
Stephan Ramon Garcia, Gabe Udell, Jiahui Yu
Assuming Dickson's conjecture, we obtain multidimensional analogues of recent results on the behavior of certain multiplicative arithmetic functions near twin-prime arguments. This…
Primitive root bias for twin primes II: Schinzel-type theorems for totient quotients and the sum-of-divisors function
Stephan Ramon Garcia, Florian Luca, Kye Shi +1
Garcia, Kahoro, and Luca showed that the Bateman-Horn conjecture implies for a majority of twin-primes pairs and that the reverse inequality holds for…