Date of Submission
Spring 2015
Academic Programs and Concentrations
Mathematics
Project Advisor 1
Lauren Rose
Abstract/Artist's Statement
In this project we work with integer splines on graphs with positive integer edge labels. We focus on graphs that are n-cycles for some natural number n. We find an explicit condition for when a set of splines can form a module basis for n-cycle splines. In general, a set of splines forms a Z-module basis if and only if their determinant is equal to the product of the edge labels divided by the greatest common divisor of those edge labels.
Open Access Agreement
Open Access
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Recommended Citation
Gjoni, Ester, "Basis Criteria for n-cycle Integer Splines" (2015). Senior Projects Spring 2015. 242.
https://digitalcommons.bard.edu/senproj_s2015/242
This work is protected by a Creative Commons license. Any use not permitted under that license is prohibited.