6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.CO2022
Generalized graph splines and the Universal Difference Property
Selma Altınok, Katie Anders, Daniel Arreola +4
We study the generalized graph splines introduced by Gilbert, Tymoczko, and Viel and focus on an attribute known as the Universal Difference Property (UDP). We prove that paths, tr…
math.NT2015
Refining Multivariate Value Set Bounds
Luke Smith
Over finite fields, if the image of a polynomial map is not the entire field, then its cardinality can be bounded above by a significantly smaller value. Earlier results bound the…
math.NT2013★ 6 cited
Polytope Bounds on Multivariate Value Sets
Luke Smith
We improve upon the upper bounds for the cardinality of the value set of a multivariable polynomial map over a finite field using the polytope of the polynomial. This generalizes e…