Geodesic
The two-dimensional Ising model and the Kac--Ward determinant
Izvestiya. Mathematics , Tome 63 (1999) no. 4, pp. 707-727

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We prove a formula that expresses the square of the statistical sum for the two-dimensional Ising model for an arbitrary plane lattice in terms of the determinant of a matrix similar to the Kac–Ward matrix. 
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     author = {N. P. Dolbilin and Yu. M. Zinoviev and A. S. Mishchenko and M. A. Shtan'ko and M. I. Shtogrin},
     title = {The two-dimensional {Ising} model and the {Kac--Ward} determinant},
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N. P. Dolbilin; Yu. M. Zinoviev; A. S. Mishchenko; M. A. Shtan'ko; M. I. Shtogrin. The two-dimensional Ising model and the Kac--Ward determinant. Izvestiya. Mathematics , Tome 63 (1999) no. 4, pp. 707-727. http://geodesic.mathdoc.fr/item/IM2_1999_63_4_a4/