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Enumeration of the self-avoiding polygons on a lattice by the Schwinger-Dyson equations

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Abstract

We show how to compute the generating function of the self-avoiding polygons on a lattice by using the statistical mechanics Schwinger-Dyson equations for the correlation functions of theN-vector spin model on that lattice.

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Butera, P., Comi, M. Enumeration of the self-avoiding polygons on a lattice by the Schwinger-Dyson equations. Annals of Combinatorics 3, 277–286 (1999). https://doi.org/10.1007/BF01608788

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