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Generalized expression of the perfect matching number for 2×3×n lattices (1993)

Narumi, Hideyuki ; Hosoya, Haruo

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 34 (1993), S. 1043-1051

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: A closed form of the perfect matching number for the cubic lattice of 2×3×n was obtained in terms of the linear combination of determinants, which was derived from its recursive expression. This is the first analytic solution for dimer statistics on three-dimensional, cubic-cell lattices. It is potentially applicable to the analytic solution of the Ising model for the general l×m×n lattice.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.530236

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