Title

On the zeta Kirchhoff index of several graph transformations

Author

Danny Cheuk, University of Northern IowaFollow

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