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• W2035839984 abstract "We apply the finite lattice and cluster expansion methods to evaluate the numbers of q-colourings omega (D, q) of the square and cubic lattices. In two dimensions, we develop an efficient transfer matrix algorithm to obtain the 1/(q-1)-expansion of omega (D=2, q) to order 36, and in three dimensions we construct expansions about the long-range ordered states. We show (for D=2) that it is also efficient to use the formulae of the finite-lattice method substituting into them numerical values of the partition functions of finite lattices. Reliable estimates of omega are obtained in all cases." @default.
• W2035839984 created "2016-06-24" @default.
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• W2035839984 date "1994-10-21" @default.
• W2035839984 modified "2023-09-23" @default.
• W2035839984 title "Series expansions for the q-colour problem on the square and cubic lattices" @default.
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• W2035839984 doi "https://doi.org/10.1088/0305-4470/27/20/013" @default.
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