40 citations · 76 across the 12 of their papers we have counts for
12 papers
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})…
The Sandpile Group of a Thick Cycle Graph
Diane Christine Alar, Jonathan Celaya, Luis David García Puente +2
The majority of graphs whose sandpile groups are known are either regular or simple. We give an explicit formula for a family of non-regular multi-graphs called thick cycles. A thi…
Neural Ideals in SageMath
Ethan Petersen, Nora Youngs, Ryan Kruse +3
A major area in neuroscience research is the study of how the brain processes spatial information. Neurons in the brain represent external stimuli via neural codes. These codes oft…
Algebraic and combinatorial aspects of sandpile monoids on directed graphs
Scott Chapman, Rebecca Garcia, Luis David García-Puente +2
The sandpile group of a graph is a well-studied object that combines ideas from algebraic graph theory, group theory, dynamical systems, and statistical physics. A graph's sandpile…
The Secant Conjecture in the real Schubert calculus
Luis Garcia-Puente, Nickolas Hein, Christopher J. Hillar +4
We formulate the Secant Conjecture, which is a generalization of the Shapiro Conjecture for Grassmannians. It asserts that an intersection of Schubert varieties in a Grassmannian i…
Toric degenerations of Bezier patches
Luis David Garcia-Puente, Frank Sottile, Chungang Zhu
The control polygon of a Bezier curve is well-defined and has geometric significance---there is a sequence of weights under which the limiting position of the curve is the control…