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Integer Generalized Splines On The Diamond Graph, Emmet Reza Mahdavi
Integer Generalized Splines On The Diamond Graph, Emmet Reza Mahdavi
Senior Projects Spring 2016
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.