Abstract
The Farey graph Fn is derived from the famous Farey sequence and it is a small-world network with a connectivity distribution decaying exponentially. By using the Matrix-Tree theorem, Zhang et al. (2012) obtained the exact formula of the number of spanning trees of Fn. In this paper, by using the electrical network method, we consider a type of generalized Farey graphs and give the exact solution for the number of spanning trees of these generalized Farey graphs, which generalizes some previous results about the Farey graphs.
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