Date of Award
2019
Document Type
Thesis
Degree Name
Bachelors
Department
Natural Sciences
First Advisor
Poimenidou, Eirini
Area of Concentration
Mathematics
Abstract
Let G be a graph on n vertices with associated adjacency matrix A(G) and degree matrix D(G). In 2016, Nikiforov defined the matrix Aa(G) = aD(G)+(1-a)A(G) for any real value a E [0; 1]. The collection of the eigenvalues of this matrix alongside their multiplicities is referred to as their Aa- spectrum, and the Aa-spectral properties of graphs has been studied since Nikiforov first introduced the matrix. In this thesis, I introduce some of the work already produced on the subject and begin to examine the relationship this spectrum has with a few graph products.
Recommended Citation
Hanna, Zachary, "THE Aa SPECTRA OF VARIOUS FAMILIES OF GRAPH PRODUCTS" (2019). Theses & ETDs. 5705.
https://digitalcommons.ncf.edu/theses_etds/5705