9 citations · 17 across the 5 of their papers we have counts for
5 papers
Basis condition for generalized spline modules
Seher Fişekci, Samet Sarıoğlan
A generalized spline on an edge labeled graph is defined as a vertex labeling, such that the difference of labels on adjacent vertices lies in the ideal generated by the ed…
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…
Multivariate generalized splines and syzygies on graphs
Selma Altınok, Samet Sarıoğlan
Given a graph whose edges are labeled by ideals of a commutative ring with identity, a generalized spline is a vertex labeling of by the elements of so that the dif…
Basis Criteria for Generalized Spline Modules via Determinant
Selma Altinok, Samet Sarioglan
Given a graph whose edges are labeled by ideals of a commutative ring R with identity, a generalized spline is a vertex labeling by the elements of R such that the difference of th…
Flow-up Bases for Generalized Spline Modules on Arbitrary Graphs
Selma Altinok, Samet Sarioglan
Let R be a commutative ring with identity. An edge labeled graph is a graph with edges labeled by ideals of R. A generalized spline over an edge labeled graph is a vertex labeling…