8 citations · 19 across the 10 of their papers we have counts for
13 papers
Generalized chip firing and critical groups of arithmetical structures on trees
Kassie Archer, Alexander Diaz-Lopez, Darren Glass +1
Chip firing provides a way to study the sandpile group (also known as the Jacobian) of a graph. We use a generalized version of chip firing to bound the number of invariant factors…
Arithmetical Structures on Coconut Trees
Alexander Diaz-Lopez, Brian Ha, Pamela E. Harris +3
If G is a finite connected graph, then an arithmetical structure on is a pair of vectors with positive integer entries such that $(\diag(\mathbf{d})…
Spectral Radii of Arithmetical Structures on Cycle Graphs
Alexander Diaz-Lopez, Kathryn Haymaker, Michael Tait
Let be a finite, connected graph. An arithmetical structure on is a pair of positive integer-valued vectors such that $(\text{diag}(\mathbf{d})-A_…
Critical groups of arithmetical structures on star graphs and complete graphs
Kassie Archer, Alexander Diaz-Lopez, Darren Glass +1
An arithmetical structure on a finite, connected graph without loops is an assignment of positive integers to the vertices that satisfies certain conditions. Associated to each of…
Partial permutohedra
Roger E. Behrend, Federico Castillo, Anastasia Chavez +4
Partial permutohedra are lattice polytopes which were recently introduced and studied by Heuer and Striker. For positive integers and , the partial permutohedron $\mathcal{P…
Critical groups of arithmetical structures under a generalized star-clique operation
Alexander Diaz-Lopez, Joel Louwsma
An arithmetical structure on a finite, connected graph without loops is given by an assignment of positive integers to the vertices such that, at each vertex, the integer there is…