Date of Award

5-2017

Document Type

Honors Thesis

Degree Name

Bachelor of Science

Department

Mathematics and Statistics

First Advisor

Alexandre Tcherne

Second Advisor

Michael Stessim

Abstract

We study the behavior of eigenvalues of the discrete Laplacian of an abstract simplicial complex K when subdividing a single face of K . We show that if K is a simplex, performing this kind of restricted subdivision twice on a single face produces irrational eigenvalues for the discrete Laplacian.

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