Abstract
We define a new generalized Bartholdi zeta function of a digraph D, and give a determinant expression of it. We present a decomposition formula for the new generalized Bartholdi zeta function of a group covering of D. Furthermore, we introduce a new generalized Bartholdi L-function of D, and give a determinant expressions of it. As an application, we present a decomposition formula for the new generalized Bartholdi zeta function of a group covering of D by its new generalized Bartholdi L-functions.
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Acknowledgements
We would like to thank the referee for many useful suggestions and comments.
Disclosure statement
No potential conflict of interest was reported by the authors.