Geodesic
Kramers–Wannier duality and Tutte polynomials
Teoretičeskaâ i matematičeskaâ fizika, Tome 220 (2024) no. 2, pp. 286-297 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study applications of the connection between the partition functions of the Potts models and Tutte polynomials: it is demonstrated how the Kramers–Wannier duality can be derived from the Tutte duality. Using the “contraction–elimination” relation and the Biggs formalism, we derive the high-temperature expansion and discuss possible methods for generalizing the Kramers–Wannier duality to models on nonplanar graphs.
Keywords: Ising model, Potts model, Tutte polynomials, Biggs model, Kramers–Wannier duality. 
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A. A. Kazakov. Kramers–Wannier duality and Tutte polynomials. Teoretičeskaâ i matematičeskaâ fizika, Tome 220 (2024) no. 2, pp. 286-297. http://geodesic.mathdoc.fr/item/TMF_2024_220_2_a4/

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