Date of Submission

Spring 2015

Academic Programs and Concentrations


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.

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Open Access

Creative Commons License

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