Dissertations and Theses @ UNI
Availability
Open Access Thesis
Keywords
Graph theory;
Abstract
In this paper, we first derived the Ihara zeta function, complexity and zeta Kirchhoff index of the k-th semitotal point graph (of regular graphs), a construction by Cui and Hou [5], where we create triangles for every edge in the original graph. Then, we extend the construction to the creation of equilaterals and polygons.
We also derived the zeta Kirchhoff indices for numerous graph transformations on regular graphs, and some selected families of graphs.
At the end, a data summary is provided for enumeration computed on simple connected md2 graphs up to degree 10.
Year of Submission
5-2020
Degree Name
Master of Arts
Department
Department of Mathematics
First Advisor
Marius Somodi, Chair, Thesis Committee
Date Original
5-2020
Object Description
1 PDF file (vi, 85 pages)
Copyright
©2020 Danny Cheuk
Language
en
File Format
application/pdf
Recommended Citation
Cheuk, Danny, "On the zeta Kirchhoff index of several graph transformations" (2020). Dissertations and Theses @ UNI. 1014.
https://scholarworks.uni.edu/etd/1014
