Date of Submission

Fall 2018

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 (m, n)-cycles for some natural numbers m, n, specifically the diamond graph, which consists of two triangles joined at an edge. We extend previous research on integer splines over the diamond graph. In particular, we prove that a set of splines on the diamond graph forms a basis if and only if it satisfies a certain determinantal criterion.

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Open Access

Creative Commons License

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Algebra Commons

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