Ihara zeta functions of coronae
Corona, Coronal, Ihara zeta function, Kirchhoff index, Weighted Kirchhoff index
Linear Algebra and Its Applications
We derive a factorization formula for the Ihara zeta function of the corona of two graphs. When the two graphs are regular, this factorization formula involves the graphs' adjacency spectra. As an application, we show that if each composing graph of a corona of regular graphs is replaced with a cospectral mate, then the Ihara zeta function of the corona does not change. We also give a formula for the weighted Kirchhoff index of the corona of two regular graphs.
Department of Mathematics
Original Publication Date
DOI of published version
UNI ScholarWorks, Rod Library, University of Northern Iowa
Somodi, Marius and Cheuk, Danny, "Ihara zeta functions of coronae" (2020). Faculty Publications. 267.