Faculty Publications

Ihara Zeta Functions Of Coronae

Document Type

Article

Keywords

Corona, Coronal, Ihara zeta function, Kirchhoff index, Weighted Kirchhoff index

Journal/Book/Conference Title

Linear Algebra and Its Applications

Volume

601

First Page

1

Last Page

16

Abstract

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

Department of Mathematics

Original Publication Date

9-15-2020

DOI of published version

10.1016/j.laa.2020.03.047

Repository

UNI ScholarWorks, Rod Library, University of Northern Iowa

Language

en

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