Open Access Thesis
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 , 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
Master of Arts
Department of Mathematics
Marius Somodi, Chair, Thesis Committee
1 PDF file (vi, 85 pages)
©2020 Danny Cheuk
Cheuk, Danny, "On the zeta Kirchhoff index of several graph transformations" (2020). Dissertations and Theses @ UNI. 1014.