Date of Submission
Academic Programs and Concentrations
Project Advisor 1
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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This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Blaine, Kathryn Elizabeth, "Determinantal Conditions on Integer Splines" (2018). Senior Projects Fall 2018. 44.