Date of Award

5-2017

Document Type

Honors Thesis

Degree Name

Bachelor of Science

Department

Mathematics and Statistics

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.

Included in

Mathematics Commons

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