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A vertex weighted Bartholdi zeta function for a digraph

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Abstract

We define a vertex weighted Bartholdi zeta function for a digraph and give its determinant expressions. This is a generalization of the vertex weighted Bartholdi zeta function for a graph.

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Acknowledgements

The author would like to thank the referee for many useful suggestions and comments.

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Correspondence to Lin Zhu.

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This work is supported by China NSF Grant no. 11901390.

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Zhu, L. A vertex weighted Bartholdi zeta function for a digraph. Arch. Math. 119, 259–267 (2022). https://doi.org/10.1007/s00013-022-01758-6

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  • DOI: https://doi.org/10.1007/s00013-022-01758-6

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