Date of Submission

Spring 2016

Academic Programs and Concentrations

Mathematics

Project Advisor 1

Lauren Rose

Abstract/Artist's Statement

In this project we extend previous research on integer splines on graphs, and we use the methods developed on n-cycles to characterize integer splines on the diamond graph. First, we find an explicit module basis consisting of flow-up classes. Then we develop a determinantal criterion for when a given set of splines forms a basis.

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