Date Thesis Awarded
5-2008
Access Type
Honors Thesis -- Access Restricted On-Campus Only
Degree Name
Bachelors of Science (BS)
Department
Mathematics
Advisor
Charles R. Johnson
Committee Members
Marc Sher
Ilya Spitkovsky
Abstract
Given a certain tree, we explore what we can infer about the eigenvalue multiplicities for a Hermitian matrix whose graph is that tree solely from the tree itself. Topics include the minimum number of 1's among the possible multiplicity lists and the effects of edge subdivision and vertex deletion in the tree on the possibly multiplicity lists. We also begin to explore what we can infer about the eigenvalue multiplicity lists of Hermitian matrices whose graph is a certain non-tree from what we already know about trees.
Recommended Citation
McMichael, Paul, "Multiplicity Lists for Classes of Hermitian Matrices whose Graph is a Certain Tree" (2008). Undergraduate Honors Theses. William & Mary. Paper 826.
https://scholarworks.wm.edu/honorstheses/826
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Comments
Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.