Geodesic
Bartholdi zeta functions of fractal graphs
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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Recently, Guido, Isola and Lapidus defined the Ihara zeta function of a fractal graph, and gave a determinant expression of it. We define the Bartholdi zeta function of a fractal graph, and present its determinant expression.
DOI : 10.37236/119
Classification : 05C50, 05C25, 05C10, 15A15
Mots-clés : Bartholdi zeta function, fractal graph, determinant, Iharata zeta function, determinant expression, Fuglede-Kadison determinant 
@article{10_37236_119,
     author = {Iwao Sato},
     title = {Bartholdi zeta functions of fractal graphs},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/119},
     zbl = {1183.05049},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/119/}
}
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Iwao Sato. Bartholdi zeta functions of fractal graphs. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/119

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