30 citations · 58 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
Arithmetical structures on bidents
Kassie Archer, Abigail Bishop, Alexander Diaz-Lopez +3
An arithmetical structure on a finite, connected graph is a pair of vectors with positive integer entries for which $(\operatorname{diag}(\mathbf{d})…
Digital Fixed Points, Approximate Fixed Points, and Universal Functions
Laurence Boxer, Ozgur Ege, Ismet Karaca +2
A. Rosenfeld introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous…