Date Thesis Awarded
Honors Thesis -- Open Access
Bachelors of Science (BS)
Charles R. Johnson
Our ultimate goal is to find the possible eigenvalue multiplicity lists which can occur among Hermitian matrices whose graph is a given tree (no restriction is placed on diagonal entries). We expand the implicit construction method pioneered by Johnson et al. to find all multiplicity lists for binary, diametric, depth-one trees, as well as provide an upper bound for the minimum number of 1's among multiplicity lists for a given tree.
Nuckols, Jonathan, "Trees and the Implicit Construction of Eigenvalue Multiplicities" (2008). Undergraduate Honors Theses. William & Mary. Paper 827.
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.