Geodesic
An approach to zeta-function of finite factorgraph via the Markov topological chains
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 226-245

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An approach to zeta- and $L$-function of finite connected graph via theory of the Markov topological chains (symbolic dynamics) is given. Also a case of $L$-function of finite connected graph with labelling is considered. Bibliography: 12 titles. 
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     author = {A. M. Nikitin},
     title = {An approach to zeta-function of finite factorgraph via the {Markov} topological chains},
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     volume = {215},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a14/}
}
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A. M. Nikitin. An approach to zeta-function of finite factorgraph via the Markov topological chains. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 14, Tome 215 (1994), pp. 226-245. http://geodesic.mathdoc.fr/item/ZNSL_1994_215_a14/