Date of Award
Bachelor of Science
Mathematics and Statistics
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.
Bollen, Brian, "Irrational Eigenvalues of the Discrete Laplacian: A Study of Simplical Complexes" (2017). Psychology. 32.