Geodesic
Weighted zeta functions of graph coverings
The electronic journal of combinatorics, Tome 13 (2006)
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We present a decomposition formula for the weighted zeta function of an irregular covering of a graph by its weighted $L$-functions. Moreover, we give a factorization of the weighted zeta function of an (irregular or regular) covering of a graph by equivalence classes of prime, reduced cycles of the base graph. As an application, we discuss the structure of balanced coverings of signed graphs.
DOI : 10.37236/1117
Classification : 05C70, 11M41
Mots-clés : signed graphs 
@article{10_37236_1117,
     author = {Iwao Sato},
     title = {Weighted zeta functions of graph coverings},
     journal = {The electronic journal of combinatorics},
     year = {2006},
     volume = {13},
     doi = {10.37236/1117},
     zbl = {1114.05084},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1117/}
}
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Iwao Sato. Weighted zeta functions of graph coverings. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1117

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