Date of Award
5-2021
Document Type
Thesis
Degree Name
Master of Science (MS)
College/School
College of Science and Mathematics
Department/Program
Mathematics
Thesis Sponsor/Dissertation Chair/Project Chair
Aihua Li
Committee Member
Deepak Bal
Committee Member
Jonathan Cutler
Abstract
In this research, we investigated the interlace polynomials of a shell graph as well as other related graphs. A shell graph, Tn is constructed by adding edges to a cycle graph such that all vertices are adjacent to one vertex. The main results of this thesis include iterative and explicit formulas for the interlace polynomial of a shell graph, denoted q(Tn; x). A linear algebra application using the adjacency matrices of the chosen graphs is also explored.
File Format
Recommended Citation
Petzold, Cheyenne, "Interlace Polynomials of Certain Graphs" (2021). Theses, Dissertations and Culminating Projects. 745.
https://digitalcommons.montclair.edu/etd/745