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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… Click to show full abstract
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.
Keywords:
zeta functions;
graphs;
ihara zeta;
formula;
functions coronae;
zeta
Journal Title: Linear Algebra and its Applications
Year Published: 2020
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Journal Title: Linear Algebra and its Applications
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!