Salas J., Sokal A.D. — Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models. I. General Theory and Square-Lattice Chromatic Polynomial
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Название: Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models. I. General Theory and Square-Lattice Chromatic Polynomial
Авторы: Salas J., Sokal A.D.
Аннотация:
Journal of Statistical Physics, Vol. 104, Nos. 3/4, 2001. p. 609-699.
We study the chromatic polynomials (= zero-temperature antiferromagnetic Potts-model partition functions) P_G(q) for m×n rectangular subsets of the square lattice, with m \< 8 (free or periodic transverse boundary conditions) and n arbitrary (free longitudinal boundary conditions), using a transfer matrix in the Fortuin–Kasteleyn representation...