On Jacobian group and complexity of the generalized Petersen graph GP(n,k) through Chebyshev polynomials

preprint2016arXivOpen access

Abstract

In the present paper we find a simple algorithm for counting Jacobian group of the generalized Petersen graph GP(n,k). Also, we obtain a closed formula for the number of spanning trees of this graph in terms of Chebyshev polynomials.

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